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15029152164 = 22321332113573
BaseRepresentation
bin11011111111100111…
…01010100110100100
31102210102000000221100
431333303222212210
5221234430332124
610523154520100
71041302454105
oct157763524644
942712000840
1015029152164
116412623514
122ab5296030
1315568b5160
14a280523ac
155ce6721c9
hex37fcea9a4

15029152164 has 36 divisors (see below), whose sum is σ = 40912693276. Its totient is φ = 4624354368.

The previous prime is 15029152163. The next prime is 15029152169. The reversal of 15029152164 is 46125192051.

15029152164 is a `hidden beast` number, since 1 + 50 + 29 + 1 + 521 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4154833764 + 10874318400 = 64458^2 + 104280^2 .

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 not an unprimeable number, because it can be changed into a prime (15029152163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16056319 + ... + 16057254.

Almost surely, 215029152164 is an apocalyptic number.

It is an amenable number.

15029152164 is an abundant number, since it is smaller than the sum of its proper divisors (25883541112).

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

15029152164 is a wasteful number, since it uses less digits than its factorization.

15029152164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32113596 (or 32113591 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 15029152164 in words is "fifteen billion, twenty-nine million, one hundred fifty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 32113573 64227146 96340719 128454292 192681438 289022157 385362876 417476449 578044314 834952898 1156088628 1252429347 1669905796 2504858694 3757288041 5009717388 7514576082 15029152164