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31357042536 = 23353211116833
BaseRepresentation
bin11101001101000001…
…100111111101101000
32222221022210210202210
4131031001213331220
51003204400330121
622223310125120
72160025315041
oct351501477550
988838723683
1031357042536
1112331262196
1260b14b07a0
132c59582b51
1417367778c8
15c37d35876
hex74d067f68

31357042536 has 64 divisors (see below), whose sum is σ = 80250937920. Its totient is φ = 10206443520.

The previous prime is 31357042511. The next prime is 31357042543. The reversal of 31357042536 is 63524075313.

It is a super-2 number, since 2×313570425362 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 31357042494 and 31357042503.

It is an unprimeable number.

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, 209976 + ... + 326808.

It is an arithmetic number, because the mean of its divisors is an integer number (1253920905).

Almost surely, 231357042536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31357042536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40125468960).

31357042536 is an abundant number, since it is smaller than the sum of its proper divisors (48893895384).

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

31357042536 is a wasteful number, since it uses less digits than its factorization.

31357042536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117106 (or 117102 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 39.

The spelling of 31357042536 in words is "thirty-one billion, three hundred fifty-seven million, forty-two thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 211 212 318 422 424 633 636 844 1266 1272 1688 2532 5064 11183 22366 33549 44732 67098 89464 116833 134196 233666 268392 350499 467332 700998 934664 1401996 2803992 6192149 12384298 18576447 24651763 24768596 37152894 49303526 49537192 73955289 74305788 98607052 147910578 148611576 197214104 295821156 591642312 1306543439 2613086878 3919630317 5226173756 7839260634 10452347512 15678521268 31357042536