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644646816 = 25331167829
BaseRepresentation
bin100110011011001…
…000011110100000
31122221000110012000
4212123020132200
52310012144231
6143545004000
721655256532
oct4633103640
91587013160
10644646816
11300982770
1215ba83600
13a372b528
1461889852
153b8db6e6
hex266c87a0

644646816 has 96 divisors (see below), whose sum is σ = 2051179200. Its totient is φ = 195344640.

The previous prime is 644646809. The next prime is 644646883. The reversal of 644646816 is 618646446.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24411 + ... + 43418.

It is an arithmetic number, because the mean of its divisors is an integer number (21366450).

Almost surely, 2644646816 is an apocalyptic number.

644646816 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

644646816 is an abundant number, since it is smaller than the sum of its proper divisors (1406532384).

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

644646816 is a wasteful number, since it uses less digits than its factorization.

644646816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67859 (or 67845 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 644646816 is about 25389.8959430715. The cubic root of 644646816 is about 863.8545279773.

The spelling of 644646816 in words is "six hundred forty-four million, six hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 67829 135658 203487 271316 406974 542632 610461 746119 813948 1085264 1220922 1492238 1627896 1831383 2170528 2238357 2441844 2984476 3255792 3662766 4476714 4883688 5968952 6511584 6715071 7325532 8953428 9767376 11937904 13430142 14651064 17906856 19534752 20145213 23875808 26860284 29302128 35813712 40290426 53720568 58604256 71627424 80580852 107441136 161161704 214882272 322323408 644646816