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87698645496 = 2332711192291511
BaseRepresentation
bin101000110101100111…
…1110010000111111000
322101100212110210020100
41101223033302013320
52414101323123441
6104142130155400
76223153121130
oct1215317620770
9271325423210
1087698645496
1134213665420
1214bb6122b60
1383680c4757
14435d3d9ac0
1524342ddcb6
hex146b3f21f8

87698645496 has 576 divisors, whose sum is σ = 323522035200. Its totient is φ = 20822054400.

The previous prime is 87698645483. The next prime is 87698645513. The reversal of 87698645496 is 69454689678.

87698645496 is a `hidden beast` number, since 8 + 7 + 6 + 9 + 86 + 454 + 96 = 666.

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, 58039381 + ... + 58040891.

It is an arithmetic number, because the mean of its divisors is an integer number (561670200).

Almost surely, 287698645496 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 87698645496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161761017600).

87698645496 is an abundant number, since it is smaller than the sum of its proper divisors (235823389704).

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

87698645496 is a wasteful number, since it uses less digits than its factorization.

87698645496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1582 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 87698645496 in words is "eighty-seven billion, six hundred ninety-eight million, six hundred forty-five thousand, four hundred ninety-six".