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15071000157 = 331732834423
BaseRepresentation
bin11100000100100110…
…10011011001011101
31102220022202010121000
432002103103121131
5221331134001112
610531251500513
71042321246653
oct160223233135
942808663530
1015071000157
116434206534
122b072b7739
131562477b95
14a2d826dd3
155d318b7dc
hex3824d365d

15071000157 has 16 divisors (see below), whose sum is σ = 23640785280. Its totient is φ = 9456313536.

The previous prime is 15071000143. The next prime is 15071000177. The reversal of 15071000157 is 75100017051.

15071000157 is a `hidden beast` number, since 1 + 507 + 1 + 0 + 0 + 0 + 157 = 666.

15071000157 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 15071000157 - 24 = 15071000141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 15071000157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15071000107) 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, 16416753 + ... + 16417670.

It is an arithmetic number, because the mean of its divisors is an integer number (1477549080).

Almost surely, 215071000157 is an apocalyptic number.

15071000157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

15071000157 is a deficient number, since it is larger than the sum of its proper divisors (8569785123).

15071000157 is a wasteful number, since it uses less digits than its factorization.

15071000157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32834449 (or 32834443 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 27.

The spelling of 15071000157 in words is "fifteen billion, seventy-one million, one hundred fifty-seven", and thus it is an aban number.

Divisors: 1 3 9 17 27 51 153 459 32834423 98503269 295509807 558185191 886529421 1674555573 5023666719 15071000157