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152523156051 = 32719472711089
BaseRepresentation
bin1000111000001100010…
…1101010101001010011
3112120200121020010021200
42032003011222221103
54444331411443201
6154022420322243
714006444302230
oct2160305525123
9476617203250
10152523156051
1159759388692
1225687843383
13114c92286c6
14754c90c787
153e7a381386
hex238316aa53

152523156051 has 48 divisors (see below), whose sum is σ = 270675225600. Its totient is φ = 80812111104.

The previous prime is 152523156007. The next prime is 152523156067. The reversal of 152523156051 is 150651325251.

152523156051 is a `hidden beast` number, since 1 + 5 + 25 + 23 + 1 + 5 + 605 + 1 = 666.

It is not a de Polignac number, because 152523156051 - 210 = 152523155027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 152523155997 and 152523156015.

It is not an unprimeable number, because it can be changed into a prime (152523156251) 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 47 ways as a sum of consecutive naturals, for example, 1299286 + ... + 1411803.

It is an arithmetic number, because the mean of its divisors is an integer number (5639067200).

Almost surely, 2152523156051 is an apocalyptic number.

152523156051 is a deficient number, since it is larger than the sum of its proper divisors (118152069549).

152523156051 is a wasteful number, since it uses less digits than its factorization.

152523156051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711168 (or 2711165 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 152523156051 in words is "one hundred fifty-two billion, five hundred twenty-three million, one hundred fifty-six thousand, fifty-one".

Divisors: 1 3 7 9 19 21 47 57 63 133 141 171 329 399 423 893 987 1197 2679 2961 6251 8037 18753 56259 2711089 8133267 18977623 24399801 51510691 56932869 127421183 154532073 170798607 360574837 382263549 463596219 891948281 1081724511 1146790647 2421002477 2675844843 3245173533 7263007431 8027534529 16947017339 21789022293 50841052017 152523156051