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157199562256 = 2411290112
BaseRepresentation
bin1001001001100111010…
…0101111011000010000
3120000202111201011121111
42102121310233120100
510033421041443011
6200114432103104
714233360142452
oct2223164573020
9500674634544
10157199562256
1160739066900
1226571994a94
1311a93018379
147873a182d2
154150bb8121
hex2499d2f610

157199562256 has 45 divisors (see below), whose sum is σ = 334817009359. Its totient is φ = 71446416800.

The previous prime is 157199562217. The next prime is 157199562263. The reversal of 157199562256 is 652265991751.

It is a happy number.

The square root of 157199562256 is 396484.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 157199562256.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 17440791 + ... + 17449801.

Almost surely, 2157199562256 is an apocalyptic number.

157199562256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

157199562256 is the 396484-th square number.

It is an amenable number.

157199562256 is an abundant number, since it is smaller than the sum of its proper divisors (177617447103).

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

157199562256 is an frugal number, since it uses more digits than its factorization.

157199562256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18052 (or 9024 counting only the distinct ones).

The product of its digits is 10206000, while the sum is 58.

The spelling of 157199562256 in words is "one hundred fifty-seven billion, one hundred ninety-nine million, five hundred sixty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 9011 18022 36044 72088 99121 144176 198242 396484 792968 1090331 1585936 2180662 4361324 8722648 17445296 81198121 162396242 324792484 649584968 893179331 1299169936 1786358662 3572717324 7145434648 9824972641 14290869296 19649945282 39299890564 78599781128 157199562256