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231016364061264 = 24321604280305981
BaseRepresentation
bin110100100001101110110000…
…010100010011001001010000
31010021221221121121121200111200
4310201232300110103021100
5220234433003144430024
62135155241425511200
766442244601003345
oct6441566024231120
91107857547550450
10231016364061264
1167677542a23771
1221ab0628aa2500
139bb9998cba342
1441093748767cc
151ba93ec03a2c9
hexd21bb0513250

231016364061264 has 30 divisors (see below), whose sum is σ = 646524963310746. Its totient is φ = 77005454687040.

The previous prime is 231016364061251. The next prime is 231016364061271. The reversal of 231016364061264 is 462160463610132.

231016364061264 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 1 + 636 + 4 + 0 + 6 + 1 + 2 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 175353424283664 + 55662939777600 = 13242108^2 + 7460760^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 802140152847 + ... + 802140153134.

Almost surely, 2231016364061264 is an apocalyptic number.

231016364061264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231016364061264 is an abundant number, since it is smaller than the sum of its proper divisors (415508599249482).

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

231016364061264 is a wasteful number, since it uses less digits than its factorization.

231016364061264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604280305995 (or 1604280305986 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 231016364061264 in words is "two hundred thirty-one trillion, sixteen billion, three hundred sixty-four million, sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1604280305981 3208560611962 4812840917943 6417121223924 9625681835886 12834242447848 14438522753829 19251363671772 25668484895696 28877045507658 38502727343544 57754091015316 77005454687088 115508182030632 231016364061264