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86715022680 = 233251131313921
BaseRepresentation
bin101000011000010011…
…1100011110101011000
322021211022121120101200
41100300213203311120
52410043021211210
6103500351514200
76156610350126
oct1206047436530
9267738546350
1086715022680
1133859408000
1214980828960
13823c39ca10
1442a8912916
1523c7c950c0
hex14309e3d58

86715022680 has 384 divisors, whose sum is σ = 333854015040. Its totient is φ = 19403366400.

The previous prime is 86715022643. The next prime is 86715022687. The reversal of 86715022680 is 8622051768.

86715022680 is a `hidden beast` number, since 8 + 67 + 1 + 502 + 2 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86715022687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6222120 + ... + 6236040.

Almost surely, 286715022680 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 86715022680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166927007520).

86715022680 is an abundant number, since it is smaller than the sum of its proper divisors (247138992360).

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

86715022680 is a wasteful number, since it uses less digits than its factorization.

86715022680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13984 (or 13955 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 86715022680 in words is "eighty-six billion, seven hundred fifteen million, twenty-two thousand, six hundred eighty".