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76053647664 = 24328313214817
BaseRepresentation
bin100011011010100100…
…1101001000100110000
321021022022100121022100
41012311021221010300
52221224213211124
654534421340400
75331452224131
oct1066511510460
9237268317270
1076053647664
112a288335175
12128a6267700
137230677ba7
1439769cbc88
151ea1ce41c9
hex11b5269130

76053647664 has 120 divisors (see below), whose sum is σ = 215616793392. Its totient is φ = 25021624320.

The previous prime is 76053647653. The next prime is 76053647717. The reversal of 76053647664 is 46674635067.

76053647664 is a `hidden beast` number, since 7 + 6 + 0 + 536 + 47 + 6 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 76053647664.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15786184 + ... + 15791000.

Almost surely, 276053647664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76053647664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107808396696).

76053647664 is an abundant number, since it is smaller than the sum of its proper divisors (139563145728).

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

76053647664 is a wasteful number, since it uses less digits than its factorization.

76053647664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6235 (or 6226 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 76053647664 in words is "seventy-six billion, fifty-three million, six hundred forty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1321 1328 1494 1992 2642 2988 3963 3984 4817 5284 5976 7926 9634 10568 11889 11952 14451 15852 19268 21136 23778 28902 31704 38536 43353 47556 57804 63408 77072 86706 95112 109643 115608 173412 190224 219286 231216 328929 346824 399811 438572 657858 693648 799622 877144 986787 1199433 1315716 1599244 1754288 1973574 2398866 2631432 3198488 3598299 3947148 4797732 5262864 6363257 6396976 7196598 7894296 9595464 12726514 14393196 15788592 19089771 19190928 25453028 28786392 38179542 50906056 57269313 57572784 76359084 101812112 114538626 152718168 229077252 305436336 458154504 528150331 916309008 1056300662 1584450993 2112601324 3168901986 4225202648 4753352979 6337803972 8450405296 9506705958 12675607944 19013411916 25351215888 38026823832 76053647664