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31534333641 = 342357165173
BaseRepresentation
bin11101010111100101…
…111011111011001001
310000101200102010110000
4131113211323323021
51004040242134031
622253042113213
72164310261526
oct352745737311
9100350363400
1031534333641
1112412344668
12614094b809
132c87218a25
14175212814d
15c486a63e6
hex75797bec9

31534333641 has 20 divisors (see below), whose sum is σ = 47127115332. Its totient is φ = 21013842528.

The previous prime is 31534333603. The next prime is 31534333661. The reversal of 31534333641 is 14633343513.

31534333641 is a `hidden beast` number, since 3 + 1 + 5 + 3 + 4 + 3 + 3 + 3 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5708558025 + 25825775616 = 75555^2 + 160704^2 .

It is not a de Polignac number, because 31534333641 - 27 = 31534333513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31534333596 and 31534333605.

It is not an unprimeable number, because it can be changed into a prime (31534333601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 108331 + ... + 273503.

Almost surely, 231534333641 is an apocalyptic number.

It is an amenable number.

31534333641 is a deficient number, since it is larger than the sum of its proper divisors (15592781691).

31534333641 is a wasteful number, since it uses less digits than its factorization.

31534333641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167542 (or 167533 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The spelling of 31534333641 in words is "thirty-one billion, five hundred thirty-four million, three hundred thirty-three thousand, six hundred forty-one".

Divisors: 1 3 9 27 81 2357 7071 21213 63639 165173 190917 495519 1486557 4459671 13379013 389312761 1167938283 3503814849 10511444547 31534333641