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157665166461 = 32111592577439
BaseRepresentation
bin1001001011010110010…
…0111000010001111101
3120001221221211022111200
42102311210320101331
510040344240311321
6200232543410113
714251042542225
oct2226544702175
9501857738450
10157665166461
1160957970170
12266818b3939
1311b3861970a
1478b97b9085
15417b9d9d26
hex24b593847d

157665166461 has 12 divisors (see below), whose sum is σ = 248442080640. Its totient is φ = 95554646280.

The previous prime is 157665166457. The next prime is 157665166487. The reversal of 157665166461 is 164661566751.

157665166461 is a `hidden beast` number, since 1 + 5 + 7 + 6 + 6 + 516 + 64 + 61 = 666.

157665166461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 157665166461 - 22 = 157665166457 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 157665166398 and 157665166407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157665166861) 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, 796288621 + ... + 796288818.

It is an arithmetic number, because the mean of its divisors is an integer number (20703506720).

Almost surely, 2157665166461 is an apocalyptic number.

157665166461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

157665166461 is a deficient number, since it is larger than the sum of its proper divisors (90776914179).

157665166461 is a wasteful number, since it uses less digits than its factorization.

157665166461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592577456 (or 1592577453 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 157665166461 in words is "one hundred fifty-seven billion, six hundred sixty-five million, one hundred sixty-six thousand, four hundred sixty-one".

Divisors: 1 3 9 11 33 99 1592577439 4777732317 14333196951 17518351829 52555055487 157665166461