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468087016896 = 26321922251111
BaseRepresentation
bin1101100111111000010…
…10010000110111000000
31122202012210022012101100
412303330022100313000
530132120234020041
6555011453134400
745550426665312
oct6637412206700
91582183265340
10468087016896
11170572a109a4
127687548a400
13351a9657815
1418926ad17b2
15c2990d46b6
hex6cfc290dc0

468087016896 has 126 divisors (see below), whose sum is σ = 1416019232472. Its totient is φ = 147816887040.

The previous prime is 468087016849. The next prime is 468087016979. The reversal of 468087016896 is 698610780864.

468087016896 is a `hidden beast` number, since 468 + 0 + 8 + 7 + 0 + 168 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 917620 + ... + 1333491.

Almost surely, 2468087016896 is an apocalyptic number.

It is an amenable number.

468087016896 is an abundant number, since it is smaller than the sum of its proper divisors (947932215576).

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

468087016896 is a wasteful number, since it uses less digits than its factorization.

468087016896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251167 (or 2251135 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 468087016896 in words is "four hundred sixty-eight billion, eighty-seven million, sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 361 456 576 608 684 722 912 1083 1216 1368 1444 1824 2166 2736 2888 3249 3648 4332 5472 5776 6498 8664 10944 11552 12996 17328 23104 25992 34656 51984 69312 103968 207936 2251111 4502222 6753333 9004444 13506666 18008888 20259999 27013332 36017776 40519998 42771109 54026664 72035552 81039996 85542218 108053328 128313327 144071104 162079992 171084436 216106656 256626654 324159984 342168872 384939981 432213312 513253308 648319968 684337744 769879962 812651071 1026506616 1296639936 1368675488 1539759924 1625302142 2053013232 2437953213 2737350976 3079519848 3250604284 4106026464 4875906426 6159039696 6501208568 7313859639 8212052928 9751812852 12318079392 13002417136 14627719278 19503625704 24636158784 26004834272 29255438556 39007251408 52009668544 58510877112 78014502816 117021754224 156029005632 234043508448 468087016896