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86655246720 = 2735722212903
BaseRepresentation
bin101000010110100001…
…1100010000110000000
322021200011010122012020
41100231003202012000
52404432220343340
6103450414401440
76155253305160
oct1205503420600
9267604118166
1086655246720
113382869a489
1214964800280
13822cba0a23
1442a09d25a0
1523c28d89d0
hex142d0e2180

86655246720 has 256 divisors, whose sum is σ = 315923604480. Its totient is φ = 19791175680.

The previous prime is 86655246707. The next prime is 86655246761. The reversal of 86655246720 is 2764255668.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29848789 + ... + 29851691.

It is an arithmetic number, because the mean of its divisors is an integer number (1234076580).

Almost surely, 286655246720 is an apocalyptic number.

86655246720 is a gapful number since it is divisible by the number (80) 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 86655246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157961802240).

86655246720 is an abundant number, since it is smaller than the sum of its proper divisors (229268357760).

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

86655246720 is a wasteful number, since it uses less digits than its factorization.

86655246720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5153 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 86655246720 in words is "eighty-six billion, six hundred fifty-five million, two hundred forty-six thousand, seven hundred twenty".