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157161107052 = 223214029311183
BaseRepresentation
bin1001001001011110001…
…0000010111001101100
3120000122211100102222200
42102113202002321230
510033331220411202
6200110535541500
714232412240245
oct2222742027154
9500584312880
10157161107052
1160719390944
1226560b2a890
1311a88072a01
14786c887ccc
15414c61de1c
hex2497882e6c

157161107052 has 36 divisors (see below), whose sum is σ = 397297948320. Its totient is φ = 52383133152.

The previous prime is 157161107039. The next prime is 157161107063. The reversal of 157161107052 is 250701161751.

It is a happy number.

157161107052 is a `hidden beast` number, since 1 + 571 + 6 + 1 + 10 + 70 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1571611070522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157161106998 and 157161107016.

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 11 ways as a sum of consecutive naturals, for example, 349453 + ... + 660635.

It is an arithmetic number, because the mean of its divisors is an integer number (11036054120).

Almost surely, 2157161107052 is an apocalyptic number.

157161107052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157161107052 is an abundant number, since it is smaller than the sum of its proper divisors (240136841268).

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

157161107052 is a wasteful number, since it uses less digits than its factorization.

157161107052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325222 (or 325217 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 36.

The spelling of 157161107052 in words is "one hundred fifty-seven billion, one hundred sixty-one million, one hundred seven thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 14029 28058 42087 56116 84174 126261 168348 252522 311183 505044 622366 933549 1244732 1867098 2800647 3734196 5601294 11202588 4365586307 8731172614 13096758921 17462345228 26193517842 39290276763 52387035684 78580553526 157161107052