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464568865464 = 2331115231155437
BaseRepresentation
bin1101100001010100111…
…01100101001010111000
31122102010121021120220110
412300222131211022320
530102414112143324
6553230415024320
745364310126124
oct6605235451270
91572117246813
10464568865464
1116a028016730
127605320b0a0
1334a68804302
14186b176a584
15c1402de329
hex6c2a7652b8

464568865464 has 64 divisors (see below), whose sum is σ = 1267839008640. Its totient is φ = 140685887360.

The previous prime is 464568865441. The next prime is 464568865487.

It is a happy number.

464568865464 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (464568865441) and next prime (464568865487).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 464568865395 and 464568865404.

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 15 ways as a sum of consecutive naturals, for example, 175647 + ... + 979790.

It is an arithmetic number, because the mean of its divisors is an integer number (19809984510).

Almost surely, 2464568865464 is an apocalyptic number.

464568865464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

464568865464 is an abundant number, since it is smaller than the sum of its proper divisors (803270143176).

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

464568865464 is a wasteful number, since it uses less digits than its factorization.

464568865464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156980 (or 1156976 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 66.

The spelling of 464568865464 in words is "four hundred sixty-four billion, five hundred sixty-eight million, eight hundred sixty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1523 3046 4569 6092 9138 12184 16753 18276 33506 36552 50259 67012 100518 134024 201036 402072 1155437 2310874 3466311 4621748 6932622 9243496 12709807 13865244 25419614 27730488 38129421 50839228 76258842 101678456 152517684 305035368 1759730551 3519461102 5279191653 7038922204 10558383306 14077844408 19357036061 21116766612 38714072122 42233533224 58071108183 77428144244 116142216366 154856288488 232284432732 464568865464