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53482519694268 = 223274011721307529
BaseRepresentation
bin11000010100100010111101…
…00101101000101110111100
321000100212201202100201022200
430022101132211220232330
524002224200020204033
6305425310320311500
714156661460413240
oct1412213645505674
9230325652321280
1053482519694268
111604a89a0988a5
125bb932b772590
1323ac4c2a2c672
14d2c7d3d38420
1562b30a587013
hex30a45e968bbc

53482519694268 has 144 divisors (see below), whose sum is σ = 154980860448960. Its totient is φ = 15233707008000.

The previous prime is 53482519694249. The next prime is 53482519694269. The reversal of 53482519694268 is 86249691528435.

53482519694268 is a `hidden beast` number, since 5 + 3 + 4 + 8 + 2 + 5 + 196 + 9 + 426 + 8 = 666.

53482519694268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 53482519694196 and 53482519694205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53482519694269) 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, 173756728 + ... + 174064256.

It is an arithmetic number, because the mean of its divisors is an integer number (1076255975340).

Almost surely, 253482519694268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53482519694268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77490430224480).

53482519694268 is an abundant number, since it is smaller than the sum of its proper divisors (101498340754692).

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

53482519694268 is a wasteful number, since it uses less digits than its factorization.

53482519694268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309668 (or 309663 counting only the distinct ones).

The product of its digits is 895795200, while the sum is 72.

The spelling of 53482519694268 in words is "fifty-three trillion, four hundred eighty-two billion, five hundred nineteen million, six hundred ninety-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 401 802 1203 1604 1721 2406 2807 3442 3609 4812 5163 5614 6884 7218 8421 10326 11228 12047 14436 15489 16842 20652 24094 25263 30978 33684 36141 48188 50526 61956 72282 101052 108423 144564 216846 307529 433692 615058 690121 922587 1230116 1380242 1845174 2070363 2152703 2760484 2767761 3690348 4140726 4305406 4830847 5535522 6211089 6458109 8281452 8610812 9661694 11071044 12422178 12916218 14492541 19323388 19374327 24844356 25832436 28985082 38748654 43477623 57970164 77497308 86955246 123319129 173910492 246638258 369957387 493276516 529257409 739914774 863233903 1058514818 1109872161 1479829548 1587772227 1726467806 2117029636 2219744322 2589701709 3175544454 3452935612 3704801863 4439488644 4763316681 5179403418 6351088908 7409603726 7769105127 9526633362 10358806836 11114405589 14819207452 15538210254 19053266724 22228811178 31076420508 33343216767 44457622356 66686433534 133372867068 212232221009 424464442018 636696663027 848928884036 1273393326054 1485625547063 1910089989081 2546786652108 2971251094126 3820179978162 4456876641189 5942502188252 7640359956324 8913753282378 13370629923567 17827506564756 26741259847134 53482519694268