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152071235537 = 13311991896221
BaseRepresentation
bin1000110110100000100…
…1101110011111010001
3112112112002212011212212
42031220021232133101
54442420214014122
6153505514201505
713662316113554
oct2155011563721
9475462764785
10152071235537
1159547280061
1225580423295
1311456708810
1475088b069b
153e50863ce2
hex236826e7d1

152071235537 has 16 divisors (see below), whose sum is σ = 169901491200. Its totient is φ = 135162561600.

The previous prime is 152071235501. The next prime is 152071235543. The reversal of 152071235537 is 735532170251.

152071235537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 152071235537 - 224 = 152054458321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 152071235494 and 152071235503.

It is not an unprimeable number, because it can be changed into a prime (152071235557) 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 15 ways as a sum of consecutive naturals, for example, 867914 + ... + 1028307.

It is an arithmetic number, because the mean of its divisors is an integer number (10618843200).

Almost surely, 2152071235537 is an apocalyptic number.

It is an amenable number.

152071235537 is a deficient number, since it is larger than the sum of its proper divisors (17830255663).

152071235537 is a wasteful number, since it uses less digits than its factorization.

152071235537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896464.

The product of its (nonzero) digits is 220500, while the sum is 41.

The spelling of 152071235537 in words is "one hundred fifty-two billion, seventy-one million, two hundred thirty-five thousand, five hundred thirty-seven".

Divisors: 1 13 31 199 403 2587 6169 80197 1896221 24650873 58782851 377347979 764177063 4905523727 11697787349 152071235537