| Base | Representation |
|---|---|
| bin | 10001011000001100100101… |
| … | …000100100000000000000000 |
| 3 | 101000121121001210102201200000 |
| 4 | 101120030211010200000000 |
| 5 | 40004210222113001320 |
| 6 | 430315131334400000 |
| 7 | 22045565604111060 |
| oct | 2130144504400000 |
| 9 | 330547053381600 |
| 10 | 76429564968960 |
| 11 | 22397661a01715 |
| 12 | 86a468a800000 |
| 13 | 338537a8b16b8 |
| 14 | 14c32d417d3a0 |
| 15 | 8c8195bbcc90 |
| hex | 458325120000 |
76429564968960 has 3456 divisors, whose sum is σ = 344611426199040. Its totient is φ = 15850845241344.
The previous prime is 76429564968899. The next prime is 76429564969003. The reversal of 76429564968960 is 6986946592467.
76429564968960 is a `hidden beast` number, since 7 + 6 + 42 + 9 + 5 + 6 + 496 + 89 + 6 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (3456).
It is a Harshad number since it is a multiple of its sum of digits (81).
It is a self number, because there is not a number n which added to its sum of digits gives 76429564968960.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 701188669386 + ... + 701188669494.
It is an arithmetic number, because the mean of its divisors is an integer number (99713954340).
Almost surely, 276429564968960 is an apocalyptic number.
76429564968960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 76429564968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172305713099520).
76429564968960 is an abundant number, since it is smaller than the sum of its proper divisors (268181861230080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
76429564968960 is an equidigital number, since it uses as much as digits as its factorization.
76429564968960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 224 (or 180 counting only the distinct ones).
The product of its (nonzero) digits is 8465264640, while the sum is 81.
The spelling of 76429564968960 in words is "seventy-six trillion, four hundred twenty-nine billion, five hundred sixty-four million, nine hundred sixty-eight thousand, nine hundred sixty".
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