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80052627456 = 211331447711
BaseRepresentation
bin100101010001110000…
…0100010100000000000
321122122000010211022000
41022203200202200000
52302421433034311
6100435313344000
75532531051264
oct1124340424000
9248560124260
1080052627456
1130a4a69194a
1213621568000
13771a000119
143c35b580a4
152137e17056
hex12a3822800

80052627456 has 96 divisors (see below), whose sum is σ = 237135225600. Its totient is φ = 26684190720.

The previous prime is 80052627397. The next prime is 80052627461. The reversal of 80052627456 is 65472625008.

80052627456 is a `hidden beast` number, since 8 + 0 + 0 + 526 + 2 + 74 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×800526274563 (a number of 34 digits) contains 333 as substring.

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, 668560 + ... + 779151.

It is an arithmetic number, because the mean of its divisors is an integer number (2470158600).

Almost surely, 280052627456 is an apocalyptic number.

It is an amenable number.

80052627456 is an abundant number, since it is smaller than the sum of its proper divisors (157082598144).

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

80052627456 is a wasteful number, since it uses less digits than its factorization.

80052627456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447742 (or 1447716 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 80052627456 in words is "eighty billion, fifty-two million, six hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 13824 18432 27648 55296 1447711 2895422 4343133 5790844 8686266 11581688 13029399 17372532 23163376 26058798 34745064 39088197 46326752 52117596 69490128 78176394 92653504 104235192 138980256 156352788 185307008 208470384 277960512 312705576 370614016 416940768 555921024 625411152 741228032 833881536 1111842048 1250822304 1482456064 1667763072 2223684096 2501644608 2964912128 3335526144 4447368192 5003289216 6671052288 8894736384 10006578432 13342104576 20013156864 26684209152 40026313728 80052627456