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644163074172 = 223341181803729
BaseRepresentation
bin10010101111110110001…
…11000111100001111100
32021120200211110200011000
421113323013013201330
541023221221333142
61211531402130300
764352650534212
oct11277307074174
92246624420130
10644163074172
11229208297902
12a4a14ab0990
134898a35a267
142326b6d4cb2
1511b5208d14c
hex95fb1c787c

644163074172 has 96 divisors (see below), whose sum is σ = 1720239393600. Its totient is φ = 208326297600.

The previous prime is 644163074099. The next prime is 644163074267. The reversal of 644163074172 is 271470361446.

644163074172 is a `hidden beast` number, since 6 + 4 + 4 + 1 + 630 + 7 + 4 + 1 + 7 + 2 = 666.

It is a super-2 number, since 2×6441630741722 (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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399604 + ... + 1203332.

It is an arithmetic number, because the mean of its divisors is an integer number (17919160350).

Almost surely, 2644163074172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644163074172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860119696800).

644163074172 is an abundant number, since it is smaller than the sum of its proper divisors (1076076319428).

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

644163074172 is a wasteful number, since it uses less digits than its factorization.

644163074172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803964 (or 803956 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 644163074172 in words is "six hundred forty-four billion, one hundred sixty-three million, seventy-four thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 181 246 362 369 492 543 724 738 1086 1107 1476 1629 2172 2214 3258 4428 4887 6516 7421 9774 14842 19548 22263 29684 44526 66789 89052 133578 200367 267156 400734 801468 803729 1607458 2411187 3214916 4822374 7233561 9644748 14467122 21700683 28934244 32952889 43401366 65905778 86802732 98858667 131811556 145474949 197717334 290949898 296576001 395434668 436424847 581899796 593152002 872849694 889728003 1186304004 1309274541 1745699388 1779456006 2618549082 3558912012 3927823623 5237098164 5964472909 7855647246 11928945818 15711294492 17893418727 23857891636 35786837454 53680256181 71573674908 107360512362 161040768543 214721024724 322081537086 644163074172