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8936014164 = 223721117181449
BaseRepresentation
bin10000101001010000…
…01100000101010100
3212001202200112221120
420110220030011110
5121300104423124
64034413443540
7434304603300
oct102450140524
925052615846
108936014164
113876168780
1218947a05b0
13ac543905c
1460ab1ad00
1537478cd79
hex214a0c154

8936014164 has 288 divisors, whose sum is σ = 28233878400. Its totient is φ = 2167603200.

The previous prime is 8936014159. The next prime is 8936014223. The reversal of 8936014164 is 4614106398.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 19901812 + ... + 19902260.

It is an arithmetic number, because the mean of its divisors is an integer number (98034300).

Almost surely, 28936014164 is an apocalyptic number.

8936014164 is a gapful number since it is divisible by the number (84) 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 8936014164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14116939200).

8936014164 is an abundant number, since it is smaller than the sum of its proper divisors (19297864236).

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

8936014164 is a wasteful number, since it uses less digits than its factorization.

8936014164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 8936014164 is about 94530.4933024260. The cubic root of 8936014164 is about 2075.1426167230.

The spelling of 8936014164 in words is "eight billion, nine hundred thirty-six million, fourteen thousand, one hundred sixty-four".