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540664031664 = 243226211432511
BaseRepresentation
bin1111101111000100001…
…01100110100110110000
31220200112210202112221100
413313202011212212300
532324234443003124
61052213322324400
754030105304461
oct7674205464660
91820483675840
10540664031664
11199326829339
128894b359700
133bca4957c83
141c24da84d68
15e0e5a851c9
hex7de21669b0

540664031664 has 60 divisors (see below), whose sum is σ = 1513686724992. Its totient is φ = 180152457600.

The previous prime is 540664031617. The next prime is 540664031693. The reversal of 540664031664 is 466130466045.

540664031664 is a `hidden beast` number, since 540 + 6 + 6 + 40 + 3 + 1 + 6 + 64 = 666.

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, 338832 + ... + 1093679.

Almost surely, 2540664031664 is an apocalyptic number.

It is an amenable number.

540664031664 is an abundant number, since it is smaller than the sum of its proper divisors (973022693328).

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

540664031664 is a wasteful number, since it uses less digits than its factorization.

540664031664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435146 (or 1435137 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 540664031664 in words is "five hundred forty billion, six hundred sixty-four million, thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2621 5242 7863 10484 15726 20968 23589 31452 41936 47178 62904 94356 125808 188712 377424 1432511 2865022 4297533 5730044 8595066 11460088 12892599 17190132 22920176 25785198 34380264 51570396 68760528 103140792 206281584 3754611331 7509222662 11263833993 15018445324 22527667986 30036890648 33791501979 45055335972 60073781296 67583003958 90110671944 135166007916 180221343888 270332015832 540664031664