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641103456 = 25372178017
BaseRepresentation
bin100110001101100…
…111011001100000
31122200100102121110
4212031213121200
52303110302311
6143341023320
721613201200
oct4615473140
91580312543
10641103456
112a9982574
1215a854b40
13a2a8a776
1461206400
153b43b8a6
hex26367660

641103456 has 144 divisors (see below), whose sum is σ = 2073069936. Its totient is φ = 172376064.

The previous prime is 641103433. The next prime is 641103457. The reversal of 641103456 is 654301146.

It is a super-2 number, since 2×6411034562 = 822027282590287872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641103457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75960 + ... + 83976.

It is an arithmetic number, because the mean of its divisors is an integer number (14396319).

Almost surely, 2641103456 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 641103456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036534968).

641103456 is an abundant number, since it is smaller than the sum of its proper divisors (1431966480).

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

641103456 is a wasteful number, since it uses less digits than its factorization.

641103456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8061 (or 8046 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 641103456 is about 25320.0208530720. The cubic root of 641103456 is about 862.2688674513.

The spelling of 641103456 in words is "six hundred forty-one million, one hundred three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 68 84 96 98 102 112 119 136 147 168 196 204 224 238 272 294 336 357 392 408 476 544 588 672 714 784 816 833 952 1176 1428 1568 1632 1666 1904 2352 2499 2856 3332 3808 4704 4998 5712 6664 8017 9996 11424 13328 16034 19992 24051 26656 32068 39984 48102 56119 64136 79968 96204 112238 128272 136289 168357 192408 224476 256544 272578 336714 384816 392833 408867 448952 545156 673428 769632 785666 817734 897904 954023 1090312 1178499 1346856 1571332 1635468 1795808 1908046 2180624 2356998 2693712 2862069 3142664 3270936 3816092 4361248 4713996 5387424 5724138 6285328 6541872 6678161 7632184 9427992 11448276 12570656 13083744 13356322 15264368 18855984 20034483 22896552 26712644 30528736 37711968 40068966 45793104 53425288 80137932 91586208 106850576 160275864 213701152 320551728 641103456