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157230205965 = 32571729361383
BaseRepresentation
bin1001001001101110100…
…1101000110000001101
3120000211122101000212200
42102123221220300031
510034001413042330
6200121444552113
714234211461640
oct2223351506015
9500748330780
10157230205965
1160754396988
12265800b2639
1311a99487341
147877b13a57
15415371ca60
hex249ba68c0d

157230205965 has 48 divisors (see below), whose sum is σ = 329787065088. Its totient is φ = 67648624128.

The previous prime is 157230205961. The next prime is 157230205991. The reversal of 157230205965 is 569502032751.

157230205965 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 30 + 20 + 596 + 5 = 666.

It is not a de Polignac number, because 157230205965 - 22 = 157230205961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 157230205965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157230205961) 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 47 ways as a sum of consecutive naturals, for example, 14675337 + ... + 14686046.

It is an arithmetic number, because the mean of its divisors is an integer number (6870563856).

Almost surely, 2157230205965 is an apocalyptic number.

157230205965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157230205965 is an abundant number, since it is smaller than the sum of its proper divisors (172556859123).

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

157230205965 is a wasteful number, since it uses less digits than its factorization.

157230205965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29361418 (or 29361415 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 157230205965 in words is "one hundred fifty-seven billion, two hundred thirty million, two hundred five thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 29361383 88084149 146806915 205529681 264252447 440420745 499143511 616589043 1027648405 1321262235 1497430533 1849767129 2495717555 3082945215 3494004577 4492291599 7487152665 9248835645 10482013731 17470022885 22461457995 31446041193 52410068655 157230205965