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206631518974464 = 2931731255267037
BaseRepresentation
bin101110111110111000100110…
…010010011011001000000000
31000002121210001211112110120110
4232332320212102123020000
5204040422322324140324
62011245113115511320
761344430444455603
oct5676704622331000
91002553054473513
10206631518974464
115a925a31652321
121b2126a5758540
138b3b365247c0c
143905039b4433a
1518d4e60015329
hexbbee2649b200

206631518974464 has 160 divisors (see below), whose sum is σ = 601662366429696. Its totient is φ = 62734426767360.

The previous prime is 206631518974457. The next prime is 206631518974501. The reversal of 206631518974464 is 464479815136602.

It is a junction number, because it is equal to n+sod(n) for n = 206631518974395 and 206631518974404.

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, 126824047 + ... + 128442990.

It is a 1-persistent number, because it is pandigital, but 2⋅206631518974464 = 413263037948928 is not.

Almost surely, 2206631518974464 is an apocalyptic number.

206631518974464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

206631518974464 is an abundant number, since it is smaller than the sum of its proper divisors (395030847455232).

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

206631518974464 is a wasteful number, since it uses less digits than its factorization.

206631518974464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255267106 (or 255267090 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 66.

The spelling of 206631518974464 in words is "two hundred six trillion, six hundred thirty-one billion, five hundred eighteen million, nine hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 128 136 186 192 204 248 256 272 372 384 408 496 512 527 544 744 768 816 992 1054 1088 1488 1536 1581 1632 1984 2108 2176 2976 3162 3264 3968 4216 4352 5952 6324 6528 7936 8432 8704 11904 12648 13056 15872 16864 23808 25296 26112 33728 47616 50592 67456 101184 134912 202368 269824 404736 809472 255267037 510534074 765801111 1021068148 1531602222 2042136296 3063204444 4084272592 4339539629 6126408888 7913278147 8168545184 8679079258 12252817776 13018618887 15826556294 16337090368 17358158516 23739834441 24505635552 26037237774 31653112588 32674180736 34716317032 47479668882 49011271104 52074475548 63306225176 65348361472 69432634064 94959337764 98022542208 104148951096 126612450352 130696722944 134525728499 138865268128 189918675528 196045084416 208297902192 253224900704 269051456998 277730536256 379837351056 392090168832 403577185497 416595804384 506449801408 538102913996 555461072512 759674702112 807154370994 833191608768 1012899602816 1076205827992 1110922145024 1519349404224 1614308741988 1666383217536 2025799205632 2152411655984 2221844290048 3038698808448 3228617483976 3332766435072 4051598411264 4304823311968 6077397616896 6457234967952 6665532870144 8609646623936 12154795233792 12914469935904 17219293247872 25828939871808 34438586495744 51657879743616 68877172991488 103315759487232 206631518974464