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102206533418664 = 233411793623160163
BaseRepresentation
bin10111001111010011010000…
…000111100011111010101000
3111101212211221001020010021020
4113033103100013203322220
5101344022440023344124
61001213011103412440
730346115114554203
oct2717232007437250
9441784831203236
10102206533418664
112a625602661314
12b5683892b4120
13450505b44b38c
141b34b7336693a
15bc395e5c4379
hex5cf4d01e3ea8

102206533418664 has 128 divisors (see below), whose sum is σ = 263285014809600. Its totient is φ = 33042881277440.

The previous prime is 102206533418653. The next prime is 102206533418677. The reversal of 102206533418664 is 466814335602201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638060647 + ... + 638220809.

It is an arithmetic number, because the mean of its divisors is an integer number (2056914178200).

Almost surely, 2102206533418664 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 102206533418664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131642507404800).

102206533418664 is an abundant number, since it is smaller than the sum of its proper divisors (161078481390936).

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

102206533418664 is a wasteful number, since it uses less digits than its factorization.

102206533418664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164015 (or 164011 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 102206533418664 in words is "one hundred two trillion, two hundred six billion, five hundred thirty-three million, four hundred eighteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 179 246 328 358 492 537 716 984 1074 1432 2148 3623 4296 7246 7339 10869 14492 14678 21738 22017 28984 29356 43476 44034 58712 86952 88068 148543 160163 176136 297086 320326 445629 480489 594172 640652 648517 891258 960978 1188344 1281304 1297034 1782516 1921956 1945551 2594068 3565032 3843912 3891102 5188136 6566683 7782204 13133366 15564408 19700049 26266732 26589197 28669177 39400098 52533464 53178394 57338354 78800196 79767591 86007531 106356788 114676708 157600392 159535182 172015062 212713576 229353416 319070364 344030124 580270549 638140728 688060248 1160541098 1175436257 1740811647 2321082196 2350872514 3481623294 3526308771 4642164392 4701745028 6963246588 7052617542 9403490056 13926493176 14105235084 23791092509 28210470168 47582185018 71373277527 95164370036 103868428271 142746555054 190328740072 207736856542 285493110108 311605284813 415473713084 570986220216 623210569626 830947426168 1246421139252 2492842278504 4258605559111 8517211118222 12775816677333 17034422236444 25551633354666 34068844472888 51103266709332 102206533418664