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463106400564 = 22373388759357
BaseRepresentation
bin1101011110100110100…
…10101110000100110100
31122021100200101200012210
412233103102232010310
530041420214304224
6552425333213420
745313131312063
oct6572322560464
91567320350183
10463106400564
11169447543155
1275905491270
1334894824972
14185b34381da
15c0a6c0b429
hex6bd34ae134

463106400564 has 48 divisors (see below), whose sum is σ = 1083293947008. Its totient is φ = 153981810048.

The previous prime is 463106400563. The next prime is 463106400737. The reversal of 463106400564 is 465004601364.

463106400564 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463106400563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7772374 + ... + 7831730.

It is an arithmetic number, because the mean of its divisors is an integer number (22568623896).

Almost surely, 2463106400564 is an apocalyptic number.

It is an amenable number.

463106400564 is an abundant number, since it is smaller than the sum of its proper divisors (620187546444).

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

463106400564 is a wasteful number, since it uses less digits than its factorization.

463106400564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60984 (or 60982 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 463106400564 in words is "four hundred sixty-three billion, one hundred six million, four hundred thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 733 887 1466 1774 2199 2661 2932 3548 4398 5322 8796 10644 59357 118714 178071 237428 356142 650171 712284 1300342 1950513 2600684 3901026 7802052 43508681 52649659 87017362 105299318 130526043 157948977 174034724 210598636 261052086 315897954 522104172 631795908 38592200047 77184400094 115776600141 154368800188 231553200282 463106400564