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31917602964 = 223134234049
BaseRepresentation
bin11101101110011011…
…111111100010010100
310001101101121020010010
4131232123333202110
51010331401243324
622355053000220
72206643102022
oct355633774224
9101341536103
1031917602964
1112599722575
126229183070
133018750000
14178adb5712
15c6c162829
hex76e6ff894

31917602964 has 120 divisors (see below), whose sum is σ = 84209025600. Its totient is φ = 9391489536.

The previous prime is 31917602963. The next prime is 31917602993. The reversal of 31917602964 is 46920671913.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31917602963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7880812 + ... + 7884860.

It is an arithmetic number, because the mean of its divisors is an integer number (701741880).

Almost surely, 231917602964 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 31917602964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42104512800).

31917602964 is an abundant number, since it is smaller than the sum of its proper divisors (52291422636).

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

31917602964 is a wasteful number, since it uses less digits than its factorization.

31917602964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 31917602964 in words is "thirty-one billion, nine hundred seventeen million, six hundred two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 169 276 299 338 507 598 676 897 1014 1196 1794 2028 2197 3588 3887 4049 4394 6591 7774 8098 8788 11661 12147 13182 15548 16196 23322 24294 26364 28561 46644 48588 50531 52637 57122 85683 93127 101062 105274 114244 151593 157911 171366 186254 202124 210548 279381 303186 315822 342732 372508 558762 606372 631644 656903 684281 1117524 1210651 1313806 1368562 1970709 2052843 2421302 2627612 2737124 3631953 3941418 4105686 4842604 7263906 7882836 8211372 8895653 14527812 15738463 17791306 26686959 31476926 35582612 47215389 53373918 62953852 94430778 106747836 115643489 188861556 204600019 231286978 346930467 409200038 462573956 613800057 693860934 818400076 1227600114 1387721868 2455200228 2659800247 5319600494 7979400741 10639200988 15958801482 31917602964