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8968553664 = 26376673031
BaseRepresentation
bin10000101101001000…
…10100010011000000
3212011000220201202020
420112210110103000
5121331422204124
64041535121440
7435151306530
oct102644242300
925130821666
108968553664
113892573124
1218a3673280
13acc0bcbb5
1461118b4c0
15377569379
hex2169144c0

8968553664 has 56 divisors (see below), whose sum is σ = 27119202048. Its totient is φ = 2562443520.

The previous prime is 8968553593. The next prime is 8968553687. The reversal of 8968553664 is 4663558698.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 8968553598 and 8968553607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3335172 + ... + 3337859.

Almost surely, 28968553664 is an apocalyptic number.

8968553664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8968553664 is an abundant number, since it is smaller than the sum of its proper divisors (18150648384).

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

8968553664 is a wasteful number, since it uses less digits than its factorization.

8968553664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6673053 (or 6673043 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 60.

The square root of 8968553664 is about 94702.4480359404. The cubic root of 8968553664 is about 2077.6583657972.

The spelling of 8968553664 in words is "eight billion, nine hundred sixty-eight million, five hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 6673031 13346062 20019093 26692124 40038186 46711217 53384248 80076372 93422434 106768496 140133651 160152744 186844868 213536992 280267302 320305488 373689736 427073984 560534604 640610976 747379472 1121069208 1281221952 1494758944 2242138416 2989517888 4484276832 8968553664