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132104464254414 = 23219834653859799
BaseRepresentation
bin11110000010010111110111…
…101010100100010111001110
3122022202001201020210002202200
4132002113313222210113032
5114303344420322120124
61144543541510302330
736553142526550161
oct3602276752442716
9568661636702680
10132104464254414
113910220912a573
12129968919579a6
135893522498542
142489c66951ad8
15104151868cbc9
hex7825f7aa45ce

132104464254414 has 48 divisors (see below), whose sum is σ = 304920894096000. Its totient is φ = 41214582371088.

The previous prime is 132104464254409. The next prime is 132104464254421. The reversal of 132104464254414 is 414452464401231.

132104464254414 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 0 + 44 + 64 + 2 + 544 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 132104464254414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2326901514 + ... + 2326958285.

It is an arithmetic number, because the mean of its divisors is an integer number (6352518627000).

Almost surely, 2132104464254414 is an apocalyptic number.

132104464254414 is an abundant number, since it is smaller than the sum of its proper divisors (172816429841586).

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

132104464254414 is a wasteful number, since it uses less digits than its factorization.

132104464254414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4653859909 (or 4653859906 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 132104464254414 in words is "one hundred thirty-two trillion, one hundred four billion, four hundred sixty-four million, two hundred fifty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 83 114 166 171 249 342 498 747 1494 1577 3154 4731 9462 14193 28386 4653859799 9307719598 13961579397 27923158794 41884738191 83769476382 88423336181 176846672362 265270008543 386270363317 530540017086 772540726634 795810025629 1158811089951 1591620051258 2317622179902 3476433269853 6952866539706 7339136903023 14678273806046 22017410709069 44034821418138 66052232127207 132104464254414