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53362664960 = 29511315661
BaseRepresentation
bin110001101100101010…
…011010011000000000
312002201221021020202112
4301230222122120000
51333241320234320
640303043034452
73566243111453
oct615452323000
9162657236675
1053362664960
11206a3919000
12a41306ba28
135055622cc7
14282317d49a
1515c4bc4ec5
hexc6ca9a600

53362664960 has 160 divisors (see below), whose sum is σ = 140739233184. Its totient is φ = 19403366400.

The previous prime is 53362664951. The next prime is 53362664977. The reversal of 53362664960 is 6946626335.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 53362664899 and 53362664908.

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, 3399530 + ... + 3415190.

Almost surely, 253362664960 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 53362664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70369616592).

53362664960 is an abundant number, since it is smaller than the sum of its proper divisors (87376568224).

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

53362664960 is an equidigital number, since it uses as much as digits as its factorization.

53362664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15717 (or 15679 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 50.

The spelling of 53362664960 in words is "fifty-three billion, three hundred sixty-two million, six hundred sixty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 256 320 352 440 484 512 605 640 704 880 968 1210 1280 1331 1408 1760 1936 2420 2560 2662 2816 3520 3872 4840 5324 5632 6655 7040 7744 9680 10648 13310 14080 15488 15661 19360 21296 26620 28160 30976 31322 38720 42592 53240 61952 62644 77440 78305 85184 106480 125288 154880 156610 170368 172271 212960 250576 309760 313220 340736 344542 425920 501152 626440 681472 689084 851840 861355 1002304 1252880 1378168 1703680 1722710 1894981 2004608 2505760 2756336 3407360 3445420 3789962 4009216 5011520 5512672 6890840 7579924 8018432 9474905 10023040 11025344 13781680 15159848 18949810 20046080 20844791 22050688 27563360 30319696 37899620 40092160 41689582 44101376 55126720 60639392 75799240 83379164 88202752 104223955 110253440 121278784 151598480 166758328 208447910 220506880 242557568 303196960 333516656 416895820 441013760 485115136 606393920 667033312 833791640 970230272 1212787840 1334066624 1667583280 2425575680 2668133248 3335166560 4851151360 5336266496 6670333120 10672532992 13340666240 26681332480 53362664960