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76686607296 = 263213374143157
BaseRepresentation
bin100011101101011100…
…0001100001111000000
321022221102101021200200
41013122320030033000
52224023232413141
655121312045200
75353236256365
oct1073270141700
9238842337620
1076686607296
112a582655102
1212a42233800
137301843910
1439d6ab446c
151edc672ab6
hex11dae0c3c0

76686607296 has 672 divisors, whose sum is σ = 256458890688. Its totient is φ = 21737963520.

The previous prime is 76686607279. The next prime is 76686607303. The reversal of 76686607296 is 69270668667.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 488449650 + ... + 488449806.

It is an arithmetic number, because the mean of its divisors is an integer number (381635254).

Almost surely, 276686607296 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 76686607296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128229445344).

76686607296 is an abundant number, since it is smaller than the sum of its proper divisors (179772283392).

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

76686607296 is a wasteful number, since it uses less digits than its factorization.

76686607296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 76686607296 in words is "seventy-six billion, six hundred eighty-six million, six hundred seven thousand, two hundred ninety-six".