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8012964096 = 28331159283
BaseRepresentation
bin1110111011001110…
…00010000100000000
3202200102210202022000
413131213002010000
5112402304322341
63403041344000
7402366033234
oct73547020400
922612722260
108012964096
113442122585
121677638000
139a9131b97
145602c05c4
1531d70b8b6
hex1dd9c2100

8012964096 has 72 divisors (see below), whose sum is σ = 23695764960. Its totient is φ = 2670985728.

The previous prime is 8012964077. The next prime is 8012964097. The reversal of 8012964096 is 6904692108.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (8012964097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 572730 + ... + 586553.

Almost surely, 28012964096 is an apocalyptic number.

It is an amenable number.

8012964096 is an abundant number, since it is smaller than the sum of its proper divisors (15682800864).

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

8012964096 is a wasteful number, since it uses less digits than its factorization.

8012964096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159308 (or 1159288 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 8012964096 is about 89515.1612633301. The cubic root of 8012964096 is about 2001.0797582894.

The spelling of 8012964096 in words is "eight billion, twelve million, nine hundred sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 1159283 2318566 3477849 4637132 6955698 9274264 10433547 13911396 18548528 20867094 27822792 31300641 37097056 41734188 55645584 62601282 74194112 83468376 111291168 125202564 148388224 166936752 222582336 250405128 296776448 333873504 445164672 500810256 667747008 890329344 1001620512 1335494016 2003241024 2670988032 4006482048 8012964096