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76913964504 = 2333133612657
BaseRepresentation
bin100011110100001101…
…1011111010111011000
321100112021012020011000
41013220123133113120
52230004433331004
655200033105000
75361666624366
oct1075033372730
9240467166130
1076913964504
112a689a22a23
1212aa63b8160
137339989000
143a18d78636
1520025d2c39
hex11e86df5d8

76913964504 has 256 divisors, whose sum is σ = 235328688000. Its totient is φ = 23269109760.

The previous prime is 76913964469. The next prime is 76913964539. The reversal of 76913964504 is 40546931967.

76913964504 is a `hidden beast` number, since 7 + 69 + 13 + 9 + 64 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (76913964469) and next prime (76913964539).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28946344 + ... + 28949000.

Almost surely, 276913964504 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 76913964504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117664344000).

76913964504 is an abundant number, since it is smaller than the sum of its proper divisors (158414723496).

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

76913964504 is a wasteful number, since it uses less digits than its factorization.

76913964504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 76913964504 in words is "seventy-six billion, nine hundred thirteen million, nine hundred sixty-four thousand, five hundred four".