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152657957070 = 2335565399841
BaseRepresentation
bin1000111000101100011…
…1111001000011001110
3112121000222212201112000
42032023013321003032
510000120414111240
6154044033453130
714013002140143
oct2161307710316
9477028781460
10152657957070
1159818489693
1225704a111a6
131151b135518
14756279c3ca
153e8710c430
hex238b1f90ce

152657957070 has 32 divisors (see below), whose sum is σ = 407087886240. Its totient is φ = 40708788480.

The previous prime is 152657957027. The next prime is 152657957077. The reversal of 152657957070 is 70759756251.

152657957070 is a `hidden beast` number, since 1 + 5 + 2 + 65 + 7 + 9 + 570 + 7 + 0 = 666.

152657957070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 152657956998 and 152657957016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152657957077) 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, 282699651 + ... + 282700190.

It is an arithmetic number, because the mean of its divisors is an integer number (12721496445).

Almost surely, 2152657957070 is an apocalyptic number.

152657957070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152657957070 is an abundant number, since it is smaller than the sum of its proper divisors (254429929170).

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

152657957070 is a wasteful number, since it uses less digits than its factorization.

152657957070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565399857 (or 565399851 counting only the distinct ones).

The product of its (nonzero) digits is 4630500, while the sum is 54.

The spelling of 152657957070 in words is "one hundred fifty-two billion, six hundred fifty-seven million, nine hundred fifty-seven thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 565399841 1130799682 1696199523 2826999205 3392399046 5088598569 5653998410 8480997615 10177197138 15265795707 16961995230 25442992845 30531591414 50885985690 76328978535 152657957070