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157116907 = 17611271193
BaseRepresentation
bin10010101110101…
…10100111101011
3101221122100212201
421113112213223
5310210220112
623331321031
73615320533
oct1127264753
9357570781
10157116907
1180763292
1244750177
13267213ac
1416c1c4c3
15dbd8257
hex95d69eb

157116907 has 16 divisors (see below), whose sum is σ = 170560512. Its totient is φ = 144184320.

The previous prime is 157116901. The next prime is 157116919. The reversal of 157116907 is 709611751.

It is a cyclic number.

It is not a de Polignac number, because 157116907 - 23 = 157116899 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157116901) 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 15 ways as a sum of consecutive naturals, for example, 131103 + ... + 132295.

It is an arithmetic number, because the mean of its divisors is an integer number (10660032).

Almost surely, 2157116907 is an apocalyptic number.

157116907 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

157116907 is a deficient number, since it is larger than the sum of its proper divisors (13443605).

157116907 is a wasteful number, since it uses less digits than its factorization.

157116907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398.

The product of its (nonzero) digits is 13230, while the sum is 37.

The square root of 157116907 is about 12534.6283151915. The cubic root of 157116907 is about 539.6029397102.

The spelling of 157116907 in words is "one hundred fifty-seven million, one hundred sixteen thousand, nine hundred seven".

Divisors: 1 17 61 127 1037 1193 2159 7747 20281 72773 131699 151511 1237141 2575687 9242171 157116907