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157116744 = 23322182177
BaseRepresentation
bin10010101110101…
…10100101001000
3101221122100122200
421113112211020
5310210213434
623331320200
73615320211
oct1127264510
9357570580
10157116744
1180763154
1244750060
13267212b5
1416c1c408
15dbd8199
hex95d6948

157116744 has 24 divisors (see below), whose sum is σ = 425524710. Its totient is φ = 52372224.

The previous prime is 157116733. The next prime is 157116761. The reversal of 157116744 is 447611751.

157116744 is a `hidden beast` number, since 1 + 571 + 16 + 74 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 150552900 + 6563844 = 12270^2 + 2562^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 = 157116699 and 157116708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1091017 + ... + 1091160.

Almost surely, 2157116744 is an apocalyptic number.

It is an amenable number.

157116744 is an abundant number, since it is smaller than the sum of its proper divisors (268407966).

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

157116744 is a wasteful number, since it uses less digits than its factorization.

157116744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182189 (or 2182182 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 157116744 is about 12534.6218132020. The cubic root of 157116744 is about 539.6027531075.

The spelling of 157116744 in words is "one hundred fifty-seven million, one hundred sixteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2182177 4364354 6546531 8728708 13093062 17457416 19639593 26186124 39279186 52372248 78558372 157116744