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152106561 = 32121313933
BaseRepresentation
bin10010001000011…
…11011001000001
3101121012210222100
421010033121001
5302414402221
623032101013
73524612235
oct1104173101
9347183870
10152106561
1178950a02
1242b34769
13256889a9
14162b65c5
15d548926
hex910f641

152106561 has 12 divisors (see below), whose sum is σ = 219906388. Its totient is φ = 101313504.

The previous prime is 152106551. The next prime is 152106569. The reversal of 152106561 is 165601251.

It is a happy number.

152106561 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 0 + 656 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87609600 + 64496961 = 9360^2 + 8031^2 .

It is not a de Polignac number, because 152106561 - 25 = 152106529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152106569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3951 + ... + 17883.

Almost surely, 2152106561 is an apocalyptic number.

It is an amenable number.

152106561 is a deficient number, since it is larger than the sum of its proper divisors (67799827).

152106561 is a wasteful number, since it uses less digits than its factorization.

152106561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15152 (or 15149 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 152106561 is about 12333.1488679899. The cubic root of 152106561 is about 533.8050144487.

The spelling of 152106561 in words is "one hundred fifty-two million, one hundred six thousand, five hundred sixty-one".

Divisors: 1 3 9 1213 3639 10917 13933 41799 125397 16900729 50702187 152106561