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31607561688 = 2333769151511
BaseRepresentation
bin11101011011111101…
…010001110111011000
310000120210012111102220
4131123331101313120
51004213013433223
622304215424040
72166156561423
oct353375216730
9100523174386
1031607561688
111244a70aa0a
126161385020
132c99447931
14175bb4a9ba
15c4ed1d6e3
hex75bf51dd8

31607561688 has 64 divisors (see below), whose sum is σ = 81273573120. Its totient is φ = 10236067200.

The previous prime is 31607561669. The next prime is 31607561747. The reversal of 31607561688 is 88616570613.

It is a self number, because there is not a number n which added to its sum of digits gives 31607561688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587853 + ... + 639363.

It is an arithmetic number, because the mean of its divisors is an integer number (1269899580).

Almost surely, 231607561688 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 31607561688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40636786560).

31607561688 is an abundant number, since it is smaller than the sum of its proper divisors (49666011432).

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

31607561688 is a wasteful number, since it uses less digits than its factorization.

31607561688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52248 (or 52244 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 31607561688 in words is "thirty-one billion, six hundred seven million, five hundred sixty-one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 691 888 1382 2073 2764 4146 5528 8292 16584 25567 51134 51511 76701 102268 103022 153402 154533 204536 206044 306804 309066 412088 613608 618132 1236264 1905907 3811814 5717721 7623628 11435442 15247256 22870884 35594101 45741768 71188202 106782303 142376404 213564606 284752808 427129212 854258424 1316981737 2633963474 3950945211 5267926948 7901890422 10535853896 15803780844 31607561688