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51919968281532 = 223132231828760869
BaseRepresentation
bin10111100111000100011110…
…10001000010001110111100
320210211111111212012120112220
423303202033101002032330
523301124043340002112
6302231412032525340
713636044133511001
oct1363421721021674
9223744455176486
1051919968281532
11155a81535a928a
1259a65303b0850
1322c80553c8300
14cb6d230238a8
156008569a598c
hex2f388f4423bc

51919968281532 has 144 divisors (see below), whose sum is σ = 136895722306560. Its totient is φ = 15279706700544.

The previous prime is 51919968281483. The next prime is 51919968281537. The reversal of 51919968281532 is 23518286991915.

51919968281532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51919968281537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 852948394 + ... + 853009262.

It is an arithmetic number, because the mean of its divisors is an integer number (950664738240).

Almost surely, 251919968281532 is an apocalyptic number.

51919968281532 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51919968281532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68447861153280).

51919968281532 is an abundant number, since it is smaller than the sum of its proper divisors (84975754025028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51919968281532 is a wasteful number, since it uses less digits than its factorization.

51919968281532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79212 (or 79197 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 69.

The spelling of 51919968281532 in words is "fifty-one trillion, nine hundred nineteen billion, nine hundred sixty-eight million, two hundred eighty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 169 276 299 338 507 598 676 897 1014 1196 1794 2028 3588 3887 7774 11661 15548 18287 23322 36574 46644 54861 60869 73148 109722 121738 182607 219444 237731 243476 365214 420601 475462 713193 730428 791297 841202 950924 1261803 1399987 1426386 1582594 1682404 2373891 2523606 2799974 2852772 3090503 3165188 4199961 4747782 5047212 5467813 5599948 6181006 8399922 9271509 9495564 10286861 10935626 12362012 16403439 16799844 18199831 18543018 20573722 21871252 30860583 32806878 36399662 37086036 41147444 54599493 61721166 65613756 71081569 72799324 109198986 123442332 142163138 213244707 218397972 236597803 284326276 426489414 473195606 709793409 852978828 946391212 1113111403 1419586818 2226222806 2839173636 3339334209 4452445612 6678668418 13357336836 14470448239 25601562269 28940896478 43411344717 51203124538 57881792956 76804686807 86822689434 102406249076 153609373614 173645378868 188115827107 307218747228 332820309497 376231654214 564347481321 665640618994 752463308428 998460928491 1128694962642 1331281237988 1996921856982 2257389925284 3993843713964 4326664023461 8653328046922 12979992070383 17306656093844 25959984140766 51919968281532