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463531016013164 = 221122791665351577
BaseRepresentation
bin110100101100101000011100…
…1100011010100010101101100
32020210020010120111020100012222
41221121100321203110111230
5441223443010044410124
64321503113053014512
7166431003455650061
oct15131207143242554
92223203514210188
10463531016013164
11124771444346700
1243ba34bb484438
1316b84a307949c8
148267041420c68
15388c78ae7825e
hex1a594398d456c

463531016013164 has 72 divisors (see below), whose sum is σ = 892097637592224. Its totient is φ = 210584684217600.

The previous prime is 463531016013127. The next prime is 463531016013167. The reversal of 463531016013164 is 461310610135364.

It is a super-2 number, since 2×4635310160131642 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (463531016013167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8987139344 + ... + 8987190920.

Almost surely, 2463531016013164 is an apocalyptic number.

463531016013164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

463531016013164 is a deficient number, since it is larger than the sum of its proper divisors (428566621579060).

463531016013164 is a wasteful number, since it uses less digits than its factorization.

463531016013164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61047 (or 61034 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 44.

The spelling of 463531016013164 in words is "four hundred sixty-three trillion, five hundred thirty-one billion, sixteen million, thirteen thousand, one hundred sixty-four".

Divisors: 1 2 4 11 22 44 121 242 484 2791 5582 6653 11164 13306 26612 30701 51577 61402 73183 103154 122804 146366 206308 292732 337711 567347 675422 805013 1134694 1350844 1610026 2269388 3220052 6240817 12481634 18568523 24963268 37137046 74274092 143951407 204253753 287902814 343141781 408507506 575805628 686283562 817015012 1372567124 1583465477 2246791283 3166930954 3774559591 4493582566 6333861908 7549119182 8987165132 15098238364 17418120247 34836240494 41520155501 69672480988 83040311002 166080622004 957708710771 1915417421542 3830834843084 10534795818481 21069591636962 42139183273924 115882754003291 231765508006582 463531016013164