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56160808320 = 2735171720613
BaseRepresentation
bin110100010011011100…
…011110110110000000
312100221221110122211210
4310103130132312000
51410004131331240
641444441010120
74025500665021
oct642334366600
9170857418753
1056160808320
11218aa348581
12aa74183940
1353b0250136
142a0aa3cc48
1516da694780
hexd1371ed80

56160808320 has 128 divisors (see below), whose sum is σ = 189542838240. Its totient is φ = 14095253504.

The previous prime is 56160808267. The next prime is 56160808321. The reversal of 56160808320 is 2380806165.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56160808321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 827667 + ... + 892946.

Almost surely, 256160808320 is an apocalyptic number.

It is an amenable number.

56160808320 is an abundant number, since it is smaller than the sum of its proper divisors (133382029920).

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

56160808320 is a wasteful number, since it uses less digits than its factorization.

56160808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720652 (or 1720640 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 56160808320 in words is "fifty-six billion, one hundred sixty million, eight hundred eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 16320 32640 1720613 3441226 5161839 6882452 8603065 10323678 13764904 17206130 20647356 25809195 27529808 29250421 34412260 41294712 51618390 55059616 58500842 68824520 82589424 87751263 103236780 110119232 117001684 137649040 146252105 165178848 175502526 206473560 220238464 234003368 275298080 292504210 330357696 351005052 412947120 438756315 468006736 550596160 585008420 660715392 702010104 825894240 877512630 936013472 1101192320 1170016840 1404020208 1651788480 1755025260 1872026944 2340033680 2808040416 3303576960 3510050520 3744053888 4680067360 5616080832 7020101040 9360134720 11232161664 14040202080 18720269440 28080404160 56160808320