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9968275328 = 271129244129
BaseRepresentation
bin10010100100010011…
…11100111110000000
3221201201001212001112
421102021330332000
5130403334302303
64325050422452
7502010641124
oct112211747600
927651055045
109968275328
114255916880
121b22431a28
13c2b26048b
146a7c65584
153d51e30d8
hex25227cf80

9968275328 has 64 divisors (see below), whose sum is σ = 22411134000. Its totient is φ = 4374773760.

The previous prime is 9968275309. The next prime is 9968275333. The reversal of 9968275328 is 8235728699.

It is a tau number, because it is divible by the number of its divisors (64).

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, 81233 + ... + 162896.

Almost surely, 29968275328 is an apocalyptic number.

It is an amenable number.

9968275328 is an abundant number, since it is smaller than the sum of its proper divisors (12442858672).

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

9968275328 is a wasteful number, since it uses less digits than its factorization.

9968275328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244183 (or 244171 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 59.

The square root of 9968275328 is about 99841.2506331927. The cubic root of 9968275328 is about 2152.1539853791.

The spelling of 9968275328 in words is "nine billion, nine hundred sixty-eight million, two hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 319 352 464 638 704 928 1276 1408 1856 2552 3712 5104 10208 20416 40832 244129 488258 976516 1953032 2685419 3906064 5370838 7079741 7812128 10741676 14159482 15624256 21483352 28318964 31248512 42966704 56637928 77877151 85933408 113275856 155754302 171866816 226551712 311508604 343733632 453103424 623017208 906206848 1246034416 2492068832 4984137664 9968275328