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2956668864 = 26366123297
BaseRepresentation
bin1011000000111011…
…0010111111000000
321122001111100012020
42300032302333000
522023401400424
61205215401440
7133161161562
oct26016627700
97561440166
102956668864
111287a65096
126a6223280
13381722706
14200967332
15124885079
hexb03b2fc0

2956668864 has 56 divisors (see below), whose sum is σ = 7835024208. Its totient is φ = 984023040.

The previous prime is 2956668857. The next prime is 2956668959. The reversal of 2956668864 is 4688666592.

It is a junction number, because it is equal to n+sod(n) for n = 2956668798 and 2956668807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115264 + ... + 138560.

Almost surely, 22956668864 is an apocalyptic number.

2956668864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2956668864 is an abundant number, since it is smaller than the sum of its proper divisors (4878355344).

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

2956668864 is a wasteful number, since it uses less digits than its factorization.

2956668864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23973 (or 23963 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 60.

The square root of 2956668864 is about 54375.2596683455. The cubic root of 2956668864 is about 1435.2720554818.

The spelling of 2956668864 in words is "two billion, nine hundred fifty-six million, six hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 661 1322 1983 2644 3966 5288 7932 10576 15864 21152 23297 31728 42304 46594 63456 69891 93188 126912 139782 186376 279564 372752 559128 745504 1118256 1491008 2236512 4473024 15399317 30798634 46197951 61597268 92395902 123194536 184791804 246389072 369583608 492778144 739167216 985556288 1478334432 2956668864