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47312722680 = 23356746712601
BaseRepresentation
bin101100000100000011…
…101101101011111000
311112010022020100011020
4230010003231223320
51233344024111210
633422443502440
73263311335666
oct540403555370
9145108210136
1047312722680
1119079886903
129204b27a20
1346000bc1c2
14240b88dc36
15136d9c4770
hexb040edaf8

47312722680 has 128 divisors (see below), whose sum is σ = 144376577280. Its totient is φ = 12400819200.

The previous prime is 47312722673. The next prime is 47312722687. The reversal of 47312722680 is 8622721374.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47312722673) and next prime (47312722687).

It is a super-3 number, since 3×473127226803 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47312722687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3748380 + ... + 3760980.

It is an arithmetic number, because the mean of its divisors is an integer number (1127942010).

Almost surely, 247312722680 is an apocalyptic number.

47312722680 is a gapful number since it is divisible by the number (40) 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 47312722680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72188288640).

47312722680 is an abundant number, since it is smaller than the sum of its proper divisors (97063854600).

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

47312722680 is a wasteful number, since it uses less digits than its factorization.

47312722680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13149 (or 13145 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 47312722680 in words is "forty-seven billion, three hundred twelve million, seven hundred twenty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 467 536 670 804 934 1005 1340 1401 1608 1868 2010 2335 2680 2802 3736 4020 4670 5604 7005 8040 9340 11208 12601 14010 18680 25202 28020 31289 37803 50404 56040 62578 63005 75606 93867 100808 125156 126010 151212 156445 187734 189015 250312 252020 302424 312890 375468 378030 469335 504040 625780 750936 756060 844267 938670 1251560 1512120 1688534 1877340 2532801 3377068 3754680 4221335 5065602 5884667 6754136 8442670 10131204 11769334 12664005 16885340 17654001 20262408 23538668 25328010 29423335 33770680 35308002 47077336 50656020 58846670 70616004 88270005 101312040 117693340 141232008 176540010 235386680 353080020 394272689 706160040 788545378 1182818067 1577090756 1971363445 2365636134 3154181512 3942726890 4731272268 5914090335 7885453780 9462544536 11828180670 15770907560 23656361340 47312722680