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86912021968 = 247097661497
BaseRepresentation
bin101000011110001011…
…1000011010111010000
322022100001022011121121
41100330113003113100
52410443434200333
6103532110132024
76164521666102
oct1207427032720
9268301264547
1086912021968
113394a630532
1214a167b1014
138271146245
1442c6b53572
1523da20a32d
hex143c5c35d0

86912021968 has 20 divisors (see below), whose sum is σ = 168629570980. Its totient is φ = 43394713344.

The previous prime is 86912021953. The next prime is 86912022023.

86912021968 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 33683995024 + 53228026944 = 183532^2 + 230712^2 .

It is a super-2 number, since 2×869120219682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3819405 + ... + 3842092.

It is an arithmetic number, because the mean of its divisors is an integer number (8431478549).

Almost surely, 286912021968 is an apocalyptic number.

It is an amenable number.

86912021968 is a deficient number, since it is larger than the sum of its proper divisors (81717549012).

86912021968 is a wasteful number, since it uses less digits than its factorization.

86912021968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7662214 (or 7662208 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The spelling of 86912021968 in words is "eighty-six billion, nine hundred twelve million, twenty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 709 1418 2836 5672 11344 7661497 15322994 30645988 61291976 122583952 5432001373 10864002746 21728005492 43456010984 86912021968