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86720274432 = 21334111092
BaseRepresentation
bin101000011000011101…
…1100110000000000000
322021211200111101110000
41100300323212000000
52410100342240212
6103501100240000
76160003112301
oct1206073460000
9267750441400
1086720274432
11338613747a0
1214982540000
1382404bb26c
1442a94bc7a8
1523c84811dc
hex1430ee6000

86720274432 has 420 divisors, whose sum is σ = 285243298956. Its totient is φ = 26037780480.

The previous prime is 86720274409. The next prime is 86720274517. The reversal of 86720274432 is 23447202768.

86720274432 is a `hidden beast` number, since 8 + 6 + 7 + 202 + 7 + 4 + 432 = 666.

It is a super-2 number, since 2×867202744322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 795598794 + ... + 795598902.

Almost surely, 286720274432 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 86720274432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142621649478).

86720274432 is an abundant number, since it is smaller than the sum of its proper divisors (198523024524).

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

86720274432 is an equidigital number, since it uses as much as digits as its factorization.

86720274432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 86720274432 in words is "eighty-six billion, seven hundred twenty million, two hundred seventy-four thousand, four hundred thirty-two".