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76870999296 = 2833721321779
BaseRepresentation
bin100011110010111011…
…1100101110100000000
321100102021100100222000
41013211313211310000
52224412433434141
655151500144000
75360635466400
oct1074567456400
9240367310860
1076870999296
112a667747593
1212a93b38000
137330ac4900
143a13392800
151eed9475b6
hex11e5de5d00

76870999296 has 1296 divisors, whose sum is σ = 307021881600. Its totient is φ = 18839568384.

The previous prime is 76870999267. The next prime is 76870999321. The reversal of 76870999296 is 69299907867.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 973050585 + ... + 973050663.

It is an arithmetic number, because the mean of its divisors is an integer number (236899600).

Almost surely, 276870999296 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 76870999296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153510940800).

76870999296 is an abundant number, since it is smaller than the sum of its proper divisors (230150882304).

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

76870999296 is a wasteful number, since it uses less digits than its factorization.

76870999296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 185177664, while the sum is 72.

The spelling of 76870999296 in words is "seventy-six billion, eight hundred seventy million, nine hundred ninety-nine thousand, two hundred ninety-six".