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86014494720 = 211325711172331
BaseRepresentation
bin101000000011011011…
…1010000100000000000
322020000111110001200200
41100012313100200000
52402124202312340
6103303045045200
76133343066430
oct1200667204000
9266014401620
1086014494720
1133529a37a80
12148060b6800
13815a20722b
14423d87c2c0
15238651b330
hex1406dd0800

86014494720 has 2304 divisors, whose sum is σ = 423890288640. Its totient is φ = 15571353600.

The previous prime is 86014494719. The next prime is 86014494721. The reversal of 86014494720 is 2749441068.

86014494720 is a `hidden beast` number, since 86 + 0 + 14 + 494 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86014494719) and next prime (86014494721).

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is not an unprimeable number, because it can be changed into a prime (86014494721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2774661105 + ... + 2774661135.

It is an arithmetic number, because the mean of its divisors is an integer number (183980160).

Almost surely, 286014494720 is an apocalyptic number.

86014494720 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 86014494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211945144320).

86014494720 is an abundant number, since it is smaller than the sum of its proper divisors (337875793920).

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

86014494720 is a wasteful number, since it uses less digits than its factorization.

86014494720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 86014494720 in words is "eighty-six billion, fourteen million, four hundred ninety-four thousand, seven hundred twenty".