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152631555561 = 32121713935137
BaseRepresentation
bin1000111000100110001…
…1001011010111101001
3112120222011012101110100
42032021203023113221
510000042134234221
6154041251540013
714012231546622
oct2161143132751
9476864171410
10152631555561
1159804596861
12256b7bba609
1311515820424
14755d088a49
153e84b44926
hex23898cb5e9

152631555561 has 12 divisors (see below), whose sum is σ = 220648975092. Its totient is φ = 101670752256.

The previous prime is 152631555533. The next prime is 152631555607. The reversal of 152631555561 is 165555136251.

152631555561 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 31 + 5 + 55 + 561 = 666.

152631555561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34845315561 + 117786240000 = 186669^2 + 343200^2 .

It is not a de Polignac number, because 152631555561 - 211 = 152631553513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152631555521) 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 11 ways as a sum of consecutive naturals, for example, 6956616 + ... + 6978521.

It is an arithmetic number, because the mean of its divisors is an integer number (18387414591).

Almost surely, 2152631555561 is an apocalyptic number.

It is an amenable number.

152631555561 is a deficient number, since it is larger than the sum of its proper divisors (68017419531).

152631555561 is a wasteful number, since it uses less digits than its factorization.

152631555561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13936360 (or 13936357 counting only the distinct ones).

The product of its digits is 675000, while the sum is 45.

The spelling of 152631555561 in words is "one hundred fifty-two billion, six hundred thirty-one million, five hundred fifty-five thousand, five hundred sixty-one".

Divisors: 1 3 9 1217 3651 10953 13935137 41805411 125416233 16959061729 50877185187 152631555561