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31364457084 = 223215727120477
BaseRepresentation
bin11101001101011101…
…111010001001111100
32222221211202111121200
4131031131322021330
51003213300111314
622224133055500
72160145325562
oct351535721174
988854674550
1031364457084
1112335466914
1260b3a87590
132c5ac7a95c
141737747a32
15c387ec709
hex74d77a27c

31364457084 has 72 divisors (see below), whose sum is σ = 80085690048. Its totient is φ = 10349389440.

The previous prime is 31364457013. The next prime is 31364457101. The reversal of 31364457084 is 48075446313.

31364457084 is a `hidden beast` number, since 3 + 1 + 36 + 44 + 570 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1521454 + ... + 1541930.

Almost surely, 231364457084 is an apocalyptic number.

It is an amenable number.

31364457084 is an abundant number, since it is smaller than the sum of its proper divisors (48721232964).

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

31364457084 is a wasteful number, since it uses less digits than its factorization.

31364457084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20915 (or 20910 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

It can be divided in two parts, 3136445 and 7084, that added together give a square (3143529 = 17732).

The spelling of 31364457084 in words is "thirty-one billion, three hundred sixty-four million, four hundred fifty-seven thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 157 271 314 471 542 628 813 942 1084 1413 1626 1884 2439 2826 3252 4878 5652 9756 20477 40954 42547 61431 81908 85094 122862 127641 170188 184293 245724 255282 368586 382923 510564 737172 765846 1531692 3214889 5549267 6429778 9644667 11098534 12859556 16647801 19289334 22197068 28934001 33295602 38578668 49943403 57868002 66591204 99886806 115736004 199773612 871234919 1742469838 2613704757 3484939676 5227409514 7841114271 10454819028 15682228542 31364457084