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133264482740064 = 25321335594146031
BaseRepresentation
bin11110010011010000001110…
…001001111010011101100000
3122110211221220221012211210100
4132103100032021322131200
5114431401130040140224
61151232505212302400
740033020054153354
oct3623201611723540
9573757827184710
10133264482740064
113950a171344115
1212b43671771a00
135948a2c7a3a40
1424ca06d121464
1510617ad2e3ac9
hex79340e27a760

133264482740064 has 72 divisors (see below), whose sum is σ = 408122478402912. Its totient is φ = 41004456226560.

The previous prime is 133264482740041. The next prime is 133264482740093. The reversal of 133264482740064 is 460047284462331.

133264482740064 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 64 + 482 + 7 + 40 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1332644827400642 (a number of 29 digits) contains 22 as substring.

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, 17797069272 + ... + 17797076759.

It is an arithmetic number, because the mean of its divisors is an integer number (5668367755596).

Almost surely, 2133264482740064 is an apocalyptic number.

It is an amenable number.

133264482740064 is an abundant number, since it is smaller than the sum of its proper divisors (274857995662848).

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

133264482740064 is a wasteful number, since it uses less digits than its factorization.

133264482740064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35594146060 (or 35594146049 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 133264482740064 in words is "one hundred thirty-three trillion, two hundred sixty-four billion, four hundred eighty-two million, seven hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 35594146031 71188292062 106782438093 142376584124 213564876186 284753168248 320347314279 427129752372 462723898403 569506336496 640694628558 854259504744 925447796806 1139012672992 1281389257116 1388171695209 1708519009488 1850895593612 2562778514232 2776343390418 3417038018976 3701791187224 4164515085627 5125557028464 5552686780836 7403582374448 8329030171254 10251114056928 11105373561672 14807164748896 16658060342508 22210747123344 33316120685016 44421494246688 66632241370032 133264482740064