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31373696816 = 24711311674919
BaseRepresentation
bin11101001110000001…
…001001111100110000
32222222111010221010222
4131032001021330300
51003223131244231
622225103112212
72160320010560
oct351601117460
988874127128
1031373696816
111233a6a7860
1260b6ba2668
132c5cb64457
141738a70da0
15c3952527b
hex74e049f30

31373696816 has 160 divisors (see below), whose sum is σ = 78714961920. Its totient is φ = 11755987200.

The previous prime is 31373696803. The next prime is 31373696881. The reversal of 31373696816 is 61869637313.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6375605 + ... + 6380523.

It is an arithmetic number, because the mean of its divisors is an integer number (491968512).

Almost surely, 231373696816 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 31373696816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39357480960).

31373696816 is an abundant number, since it is smaller than the sum of its proper divisors (47341265104).

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

31373696816 is a wasteful number, since it uses less digits than its factorization.

31373696816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5143 (or 5137 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 53.

The spelling of 31373696816 in words is "thirty-one billion, three hundred seventy-three million, six hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 124 154 167 176 217 248 308 334 341 434 496 616 668 682 868 1169 1232 1336 1364 1736 1837 2338 2387 2672 2728 3472 3674 4676 4774 4919 5177 5456 7348 9352 9548 9838 10354 12859 14696 18704 19096 19676 20708 25718 29392 34433 36239 38192 39352 41416 51436 54109 56947 68866 72478 78704 82832 102872 108218 113894 137732 144956 152489 205744 216436 227788 275464 289912 304978 378763 398629 432872 455576 550928 579824 609956 757526 797258 821473 865744 911152 1067423 1219912 1515052 1594516 1642946 1677379 2134846 2439824 3030104 3189032 3285892 3354758 4269692 5750311 6060208 6378064 6571784 6709516 8539384 9036203 11500622 11741653 13143568 13419032 17078768 18072406 23001244 23483306 25465663 26838064 36144812 46002488 46966612 50931326 63253421 72289624 92004976 93933224 101862652 126506842 144579248 178259641 187866448 203725304 253013684 280122293 356519282 407450608 506027368 560244586 713038564 1012054736 1120489172 1426077128 1960856051 2240978344 2852154256 3921712102 4481956688 7843424204 15686848408 31373696816