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157112016372 = 223217256718981
BaseRepresentation
bin1001001001010010011…
…0110001110111110100
3120000112101222101020100
42102110212301313310
510033231134010442
6200102023434100
714231245050603
oct2222446616764
9500471871210
10157112016372
11606a3701333
12265485b5930
1311a7ab4547c
147866149a3a
15414817384c
hex24949b1df4

157112016372 has 36 divisors (see below), whose sum is σ = 420505692516. Its totient is φ = 49290044160.

The previous prime is 157112016353. The next prime is 157112016377. The reversal of 157112016372 is 273610211751.

157112016372 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 12 + 0 + 1 + 637 + 2 = 666.

157112016372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 113699793636 + 43412222736 = 337194^2 + 208356^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157112016377) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 128358879 + ... + 128360102.

It is an arithmetic number, because the mean of its divisors is an integer number (11680713681).

Almost surely, 2157112016372 is an apocalyptic number.

157112016372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157112016372 is an abundant number, since it is smaller than the sum of its proper divisors (263393676144).

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

157112016372 is a wasteful number, since it uses less digits than its factorization.

157112016372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256719008 (or 256719003 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 157112016372 in words is "one hundred fifty-seven billion, one hundred twelve million, sixteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 256718981 513437962 770156943 1026875924 1540313886 2310470829 3080627772 4364222677 4620941658 8728445354 9241883316 13092668031 17456890708 26185336062 39278004093 52370672124 78556008186 157112016372