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664444174400 = 2652415277609
BaseRepresentation
bin10011010101100111111…
…01011000000001000000
32100112001020221022102022
421222303331120001000
541341240202040100
61225124052341012
766001355203256
oct11526375300100
92315036838368
10664444174400
11236875461666
12a8935014768
134a870046296
14242330705d6
151243c832e85
hex9ab3f58040

664444174400 has 42 divisors (see below), whose sum is σ = 1634947950570. Its totient is φ = 265777669120.

The previous prime is 664444174391. The next prime is 664444174421. The reversal of 664444174400 is 4471444466.

It can be written as a sum of positive squares in 3 ways, for example, as 6762101824 + 657682072576 = 82232^2 + 810976^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 207637205 + ... + 207640404.

Almost surely, 2664444174400 is an apocalyptic number.

It is an amenable number.

664444174400 is an abundant number, since it is smaller than the sum of its proper divisors (970503776170).

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

664444174400 is a wasteful number, since it uses less digits than its factorization.

664444174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415277631 (or 415277616 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 44.

The spelling of 664444174400 in words is "six hundred sixty-four billion, four hundred forty-four million, one hundred seventy-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 415277609 830555218 1661110436 2076388045 3322220872 4152776090 6644441744 8305552180 10381940225 13288883488 16611104360 20763880450 26577766976 33222208720 41527760900 66444417440 83055521800 132888834880 166111043600 332222087200 664444174400