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76996314432 = 26324717915889
BaseRepresentation
bin100011110110101010…
…1101000010101000000
321100202000011001000100
41013231111220111000
52230142024030212
655212134122400
75364016605552
oct1075525502500
9240660131010
1076996314432
112a721459714
1212b09ab0400
137350a5cb8b
143a25c934d2
15200994cbdc
hex11ed568540

76996314432 has 168 divisors, whose sum is σ = 226665129600. Its totient is φ = 24977461248.

The previous prime is 76996314391. The next prime is 76996314433. The reversal of 76996314432 is 23441369967.

It is a happy number.

It is a super-2 number, since 2×769963144322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76996314433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4837944 + ... + 4853832.

It is an arithmetic number, because the mean of its divisors is an integer number (1349197200).

Almost surely, 276996314432 is an apocalyptic number.

76996314432 is a gapful number since it is divisible by the number (72) 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 76996314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113332564800).

76996314432 is an abundant number, since it is smaller than the sum of its proper divisors (149668815168).

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

76996314432 is a wasteful number, since it uses less digits than its factorization.

76996314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16133 (or 16120 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 76996314432 in words is "seventy-six billion, nine hundred ninety-six million, three hundred fourteen thousand, four hundred thirty-two".