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641063676 = 2231117299851
BaseRepresentation
bin100110001101011…
…101101011111100
31122200021102001010
4212031131223330
52303103014201
6143340115220
721612644211
oct4615355374
91580242033
10641063676
112a99556a0
1215a835b10
13a2a75626
14611d5b08
153b42ebd6
hex2635dafc

641063676 has 96 divisors (see below), whose sum is σ = 1787546880. Its totient is φ = 176512000.

The previous prime is 641063669. The next prime is 641063677. The reversal of 641063676 is 676360146.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641063677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60151 + ... + 70001.

It is an arithmetic number, because the mean of its divisors is an integer number (18620280).

Almost surely, 2641063676 is an apocalyptic number.

641063676 is a gapful number since it is divisible by the number (66) 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 641063676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893773440).

641063676 is an abundant number, since it is smaller than the sum of its proper divisors (1146483204).

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

641063676 is a wasteful number, since it uses less digits than its factorization.

641063676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9915 (or 9913 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 641063676 is about 25319.2352965093. The cubic root of 641063676 is about 862.2510326984.

The spelling of 641063676 in words is "six hundred forty-one million, sixty-three thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 17 22 29 33 34 44 51 58 66 68 87 102 116 132 174 187 204 319 348 374 493 561 638 748 957 986 1122 1276 1479 1914 1972 2244 2958 3828 5423 5916 9851 10846 16269 19702 21692 29553 32538 39404 59106 65076 108361 118212 167467 216722 285679 325083 334934 433444 502401 571358 650166 669868 857037 1004802 1142716 1300332 1714074 1842137 2009604 3142469 3428148 3684274 4856543 5526411 6284938 7368548 9427407 9713086 11052822 12569876 14569629 18854814 19426172 22105644 29139258 37709628 53421973 58278516 106843946 160265919 213687892 320531838 641063676