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268813779264 = 2632479929587
BaseRepresentation
bin1111101001011010001…
…1001100000101000000
3221200212002112212102200
43322112203030011000
513401012311414024
6323254044113200
725264312265112
oct3722643140500
9850762485380
10268813779264
11a4004409058
1244121235800
131c46ca88164
14d0213533b2
156ed486c2c9
hex3e968cc140

268813779264 has 84 divisors (see below), whose sum is σ = 786899989824. Its totient is φ = 87698103552.

The previous prime is 268813779187. The next prime is 268813779271. The reversal of 268813779264 is 462977318862.

268813779264 is a `hidden beast` number, since 268 + 81 + 37 + 7 + 9 + 264 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4937722 + ... + 4991865.

Almost surely, 2268813779264 is an apocalyptic number.

268813779264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268813779264 is an abundant number, since it is smaller than the sum of its proper divisors (518086210560).

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

268813779264 is a wasteful number, since it uses less digits than its factorization.

268813779264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9929652 (or 9929639 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 268813779264 in words is "two hundred sixty-eight billion, eight hundred thirteen million, seven hundred seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 141 144 188 192 282 288 376 423 564 576 752 846 1128 1504 1692 2256 3008 3384 4512 6768 9024 13536 27072 9929587 19859174 29788761 39718348 59577522 79436696 89366283 119155044 158873392 178732566 238310088 317746784 357465132 466690589 476620176 635493568 714930264 933381178 953240352 1400071767 1429860528 1866762356 1906480704 2800143534 2859721056 3733524712 4200215301 5600287068 5719442112 7467049424 8400430602 11200574136 14934098848 16800861204 22401148272 29868197696 33601722408 44802296544 67203444816 89604593088 134406889632 268813779264