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31162125920 = 2552353159773
BaseRepresentation
bin11101000001011010…
…000100111001100000
32222102202001000102212
4131001122010321200
51002310001012140
622152104301252
72152140462032
oct350132047140
988382030385
1031162125920
1112241231482
126058171828
132c28088583
141718919c52
15c25b82765
hex741684e60

31162125920 has 96 divisors (see below), whose sum is σ = 78271365312. Its totient is φ = 11697866752.

The previous prime is 31162125913. The next prime is 31162125937. The reversal of 31162125920 is 2952126113.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 115154 + ... + 274926.

It is an arithmetic number, because the mean of its divisors is an integer number (815326722).

Almost surely, 231162125920 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 31162125920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39135682656).

31162125920 is an abundant number, since it is smaller than the sum of its proper divisors (47109239392).

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

31162125920 is a wasteful number, since it uses less digits than its factorization.

31162125920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159864 (or 159856 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 31162125920 in words is "thirty-one billion, one hundred sixty-two million, one hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 53 80 92 106 115 160 184 212 230 265 368 424 460 530 736 848 920 1060 1219 1696 1840 2120 2438 3680 4240 4876 6095 8480 9752 12190 19504 24380 39008 48760 97520 159773 195040 319546 639092 798865 1278184 1597730 2556368 3195460 3674779 5112736 6390920 7349558 8467969 12781840 14699116 16935938 18373895 25563680 29398232 33871876 36747790 42339845 58796464 67743752 73495580 84679690 117592928 135487504 146991160 169359380 194763287 270975008 293982320 338718760 389526574 587964640 677437520 779053148 973816435 1354875040 1558106296 1947632870 3116212592 3895265740 6232425184 7790531480 15581062960 31162125920