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644989318144 = 210412374701
BaseRepresentation
bin10010110001011000101…
…10111111010000000000
32021122211102012012210121
421120230112333100000
541031414231140034
61212145355310024
764412302513603
oct11305426772000
92248742165717
10644989318144
112295a1723166
12a500574b314
1348a8c59b612
142330933233a
1511b9e89b1b4
hex962c5bf400

644989318144 has 66 divisors (see below), whose sum is σ = 1321566834662. Its totient is φ = 314628096000.

The previous prime is 644989318117. The next prime is 644989318177. The reversal of 644989318144 is 441813989446.

It can be written as a sum of positive squares in 3 ways, for example, as 12188160000 + 632801158144 = 110400^2 + 795488^2 .

It is a super-2 number, since 2×6449893181442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 1533994 + ... + 1908694.

Almost surely, 2644989318144 is an apocalyptic number.

644989318144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644989318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660783417331).

644989318144 is an abundant number, since it is smaller than the sum of its proper divisors (676577516518).

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

644989318144 is an equidigital number, since it uses as much as digits as its factorization.

644989318144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374803 (or 374744 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 61.

The spelling of 644989318144 in words is "six hundred forty-four billion, nine hundred eighty-nine million, three hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 1681 2624 3362 5248 6724 10496 13448 20992 26896 41984 53792 107584 215168 374701 430336 749402 860672 1498804 1721344 2997608 5995216 11990432 15362741 23980864 30725482 47961728 61450964 95923456 122901928 191846912 245803856 383693824 491607712 629872381 983215424 1259744762 1966430848 2519489524 3932861696 5038979048 7865723392 10077958096 15731446784 20155916192 40311832384 80623664768 161247329536 322494659072 644989318144