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268686240206496 = 25372102471901719
BaseRepresentation
bin111101000101111001100011…
…111001110100111010100000
31022020100011011001102102221020
4331011321203321310322200
5240204123404443101441
62351240431005125440
7110410640336063130
oct7505714371647240
91266304131372836
10268686240206496
1178680215a62812
122617523a259880
13b6c00082833b8
144a4c6aa6b4ac0
15210e22bb78e66
hexf45e63e74ea0

268686240206496 has 96 divisors (see below), whose sum is σ = 806062978344960. Its totient is φ = 76767091704576.

The previous prime is 268686240206479. The next prime is 268686240206497. The reversal of 268686240206496 is 694602042686862.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 268686240206496.

It is not an unprimeable number, because it can be changed into a prime (268686240206497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140335125 + ... + 142236843.

It is an arithmetic number, because the mean of its divisors is an integer number (8396489357760).

Almost surely, 2268686240206496 is an apocalyptic number.

It is an amenable number.

268686240206496 is an abundant number, since it is smaller than the sum of its proper divisors (537376738138464).

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

268686240206496 is a wasteful number, since it uses less digits than its factorization.

268686240206496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111986 (or 2111978 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 69.

The spelling of 268686240206496 in words is "two hundred sixty-eight trillion, six hundred eighty-six billion, two hundred forty million, two hundred six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 210247 420494 630741 840988 1261482 1471729 1681976 1901719 2522964 2943458 3363952 3803438 4415187 5045928 5705157 5886916 6727904 7606876 8830374 10091856 11410314 11773832 13312033 15213752 17660748 20183712 22820628 23547664 26624066 30427504 35321496 39936099 45641256 47095328 53248132 60855008 70642992 79872198 91282512 106496264 141285984 159744396 182565024 212992528 319488792 425985056 638977584 1277955168 399830714593 799661429186 1199492143779 1599322858372 2398984287558 2798815002151 3198645716744 4797968575116 5597630004302 6397291433488 8396445006453 9595937150232 11195260008604 12794582866976 16792890012906 19191874300464 22390520017208 33585780025812 38383748600928 44781040034416 67171560051624 89562080068832 134343120103248 268686240206496