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157931600952 = 233139160929423
BaseRepresentation
bin1001001100010101110…
…1001111110000111000
3120002122112011120220210
42103011131033300320
510041420442212302
6200315222151120
714260456313166
oct2230535176070
9502575146823
10157931600952
1160a842a9364
1226736b824a0
1311b7b894668
147902d32236
1541950b866c
hex24c574fc38

157931600952 has 64 divisors (see below), whose sum is σ = 397930176000. Its totient is φ = 52230875904.

The previous prime is 157931600929. The next prime is 157931600989. The reversal of 157931600952 is 259006139751.

157931600952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5352913 + ... + 5382335.

It is an arithmetic number, because the mean of its divisors is an integer number (6217659000).

Almost surely, 2157931600952 is an apocalyptic number.

157931600952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157931600952 is an abundant number, since it is smaller than the sum of its proper divisors (239998575048).

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

157931600952 is a wasteful number, since it uses less digits than its factorization.

157931600952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31180 (or 31176 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 48.

The spelling of 157931600952 in words is "one hundred fifty-seven billion, nine hundred thirty-one million, six hundred thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 139 278 417 556 834 1112 1609 1668 3218 3336 4827 6436 9654 12872 19308 29423 38616 58846 88269 117692 176538 223651 235384 353076 447302 670953 706152 894604 1341906 1789208 2683812 4089797 5367624 8179594 12269391 16359188 24538782 32718376 47341607 49077564 94683214 98155128 142024821 189366428 284049642 378732856 568099284 1136198568 6580483373 13160966746 19741450119 26321933492 39482900238 52643866984 78965800476 157931600952