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53688442704 = 24313374395297
BaseRepresentation
bin110010000000000101…
…001001111101010000
312010120122021110210220
4302000011021331100
51334423220131304
640355241353040
73610310143011
oct620005117520
9163518243726
1053688442704
11208507a9706
12a4a4198780
1350a7c77cc0
142854543008
1515e35c6ad9
hexc80149f50

53688442704 has 160 divisors (see below), whose sum is σ = 153779324160. Its totient is φ = 16033406976.

The previous prime is 53688442663. The next prime is 53688442837. The reversal of 53688442704 is 40724488635.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10132984 + ... + 10138280.

It is an arithmetic number, because the mean of its divisors is an integer number (961120776).

Almost surely, 253688442704 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 53688442704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76889662080).

53688442704 is an abundant number, since it is smaller than the sum of its proper divisors (100090881456).

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

53688442704 is a wasteful number, since it uses less digits than its factorization.

53688442704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797 (or 5791 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 53688442704 in words is "fifty-three billion, six hundred eighty-eight million, four hundred forty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 439 444 481 592 624 878 888 962 1317 1443 1756 1776 1924 2634 2886 3512 3848 5268 5297 5707 5772 7024 7696 10536 10594 11414 11544 15891 16243 17121 21072 21188 22828 23088 31782 32486 34242 42376 45656 48729 63564 64972 68484 68861 84752 91312 97458 127128 129944 136968 137722 194916 195989 206583 211159 254256 259888 273936 275444 389832 391978 413166 422318 550888 587967 633477 779664 783956 826332 844636 1101776 1175934 1266954 1567912 1652664 1689272 2325383 2351868 2533908 2547857 3135824 3305328 3378544 4650766 4703736 5067816 5095714 6976149 7643571 9301532 9407472 10135632 10191428 13952298 15287142 18603064 20382856 27904596 30229979 30574284 37206128 40765712 55809192 60459958 61148568 86039171 90689937 111618384 120919916 122297136 172078342 181379874 241839832 258117513 344156684 362759748 483679664 516235026 688313368 725519496 1032470052 1118509223 1376626736 1451038992 2064940104 2237018446 3355527669 4129880208 4474036892 6711055338 8948073784 13422110676 17896147568 26844221352 53688442704