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644902048720 = 24529733807877
BaseRepresentation
bin10010110001001110010…
…10000101001111010000
32021122121022222110122201
421120213022011033100
541031224411024340
61212133001012544
764410162653026
oct11304712051720
92248538873581
10644902048720
11229557437376
12a4ba0484154
1348a774944c7
14232db8d6716
1511b96dad79a
hex96272853d0

644902048720 has 80 divisors (see below), whose sum is σ = 1572348983760. Its totient is φ = 245653696512.

The previous prime is 644902048643. The next prime is 644902048759. The reversal of 644902048720 is 27840209446.

It can be written as a sum of positive squares in 8 ways, for example, as 21926501776 + 622975546944 = 148076^2 + 789288^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 1734579 + ... + 2073298.

It is an arithmetic number, because the mean of its divisors is an integer number (19654362297).

Almost surely, 2644902048720 is an apocalyptic number.

It is an amenable number.

644902048720 is an abundant number, since it is smaller than the sum of its proper divisors (927446935040).

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

644902048720 is a wasteful number, since it uses less digits than its factorization.

644902048720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807992 (or 3807986 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 644902048720 in words is "six hundred forty-four billion, nine hundred two million, forty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 73 80 116 145 146 232 290 292 365 464 580 584 730 1160 1168 1460 2117 2320 2920 4234 5840 8468 10585 16936 21170 33872 42340 84680 169360 3807877 7615754 15231508 19039385 30463016 38078770 60926032 76157540 110428433 152315080 220856866 277975021 304630160 441713732 552142165 555950042 883427464 1104284330 1111900084 1389875105 1766854928 2208568660 2223800168 2779750210 4417137320 4447600336 5559500420 8061275609 8834274640 11119000840 16122551218 22238001680 32245102436 40306378045 64490204872 80612756090 128980409744 161225512180 322451024360 644902048720