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76056032976 = 24371121998459
BaseRepresentation
bin100011011010101001…
…0101111011011010000
321021022110211210100020
41012311102233123100
52221230321023401
654534544423440
75331511420320
oct1066522573320
9237273753306
1076056032976
112a289714300
12128a7017b80
137231001811
14397704d280
151ea2115d36
hex11b54af6d0

76056032976 has 240 divisors, whose sum is σ = 259808371200. Its totient is φ = 18714896640.

The previous prime is 76056032951. The next prime is 76056032977. The reversal of 76056032976 is 67923065067.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76056032977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 723235 + ... + 821693.

It is an arithmetic number, because the mean of its divisors is an integer number (1082534880).

Almost surely, 276056032976 is an apocalyptic number.

76056032976 is a gapful number since it is divisible by the number (76) 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 76056032976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129904185600).

76056032976 is an abundant number, since it is smaller than the sum of its proper divisors (183752338224).

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

76056032976 is a wasteful number, since it uses less digits than its factorization.

76056032976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98518 (or 98501 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 51.

The spelling of 76056032976 in words is "seventy-six billion, fifty-six million, thirty-two thousand, nine hundred seventy-six".