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465241142564 = 221110573662331
BaseRepresentation
bin1101100010100101000…
…10000111010100100100
31122110212110021210201022
412301102202013110210
530110303213030224
6553421232150312
745420052314512
oct6612242072444
91573773253638
10465241142564
1116a342550440
1276200398398
1334b44b88003
1418736b694b2
15c17e33765e
hex6c52887524

465241142564 has 12 divisors (see below), whose sum is σ = 888187635888. Its totient is φ = 211473246600.

The previous prime is 465241142563. The next prime is 465241142603.

465241142564 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44), and also a Moran number because the ratio is a prime number: 10573662331 = 465241142564 / (4 + 6 + 5 + 2 + 4 + 1 + 1 + 4 + 2 + 5 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (465241142563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5286831122 + ... + 5286831209.

It is an arithmetic number, because the mean of its divisors is an integer number (74015636324).

Almost surely, 2465241142564 is an apocalyptic number.

465241142564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465241142564 is a deficient number, since it is larger than the sum of its proper divisors (422946493324).

465241142564 is a wasteful number, since it uses less digits than its factorization.

465241142564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10573662346 (or 10573662344 counting only the distinct ones).

The product of its digits is 921600, while the sum is 44.

The spelling of 465241142564 in words is "four hundred sixty-five billion, two hundred forty-one million, one hundred forty-two thousand, five hundred sixty-four".

Divisors: 1 2 4 11 22 44 10573662331 21147324662 42294649324 116310285641 232620571282 465241142564