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76034676480 = 2835712722273
BaseRepresentation
bin100011011010000000…
…1010001011100000000
321021020222122202201220
41012310001101130000
52221204334121410
654532502555040
75331132041430
oct1066401213400
9237228582656
1076034676480
112a278657904
121289ba38a80
137229764b39
1439742902c0
151ea02e8070
hex11b4051700

76034676480 has 288 divisors, whose sum is σ = 279724376064. Its totient is φ = 17241735168.

The previous prime is 76034676449. The next prime is 76034676481. The reversal of 76034676480 is 8467643067.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76034676481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3402624 + ... + 3424896.

Almost surely, 276034676480 is an apocalyptic number.

76034676480 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 76034676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139862188032).

76034676480 is an abundant number, since it is smaller than the sum of its proper divisors (203689699584).

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

76034676480 is a wasteful number, since it uses less digits than its factorization.

76034676480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22431 (or 22417 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 76034676480 in words is "seventy-six billion, thirty-four million, six hundred seventy-six thousand, four hundred eighty".