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12641710782 = 23173143109853
BaseRepresentation
bin10111100011000000…
…10011001010111110
31012122000121110001110
423301200103022332
5201342234221112
65450231422450
7625162524441
oct136140231276
935560543043
1012641710782
1153a7a09468
122549824a26
1312660a584c
1487cd41658
154dec7c13c
hex2f18132be

12641710782 has 128 divisors (see below), whose sum is σ = 28569784320. Its totient is φ = 3710085120.

The previous prime is 12641710771. The next prime is 12641710831. The reversal of 12641710782 is 28701714621.

12641710782 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12641710782.

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 63 ways as a sum of consecutive naturals, for example, 14819868 + ... + 14820720.

It is an arithmetic number, because the mean of its divisors is an integer number (223201440).

Almost surely, 212641710782 is an apocalyptic number.

12641710782 is an abundant number, since it is smaller than the sum of its proper divisors (15928073538).

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

12641710782 is a wasteful number, since it uses less digits than its factorization.

12641710782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058.

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 12641710782 in words is "twelve billion, six hundred forty-one million, seven hundred ten thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 17 31 34 43 51 62 86 93 102 109 129 186 218 258 327 527 654 731 853 1054 1333 1462 1581 1706 1853 2193 2559 2666 3162 3379 3706 3999 4386 4687 5118 5559 6758 7998 9374 10137 11118 14061 14501 20274 22661 26443 28122 29002 36679 43503 45322 52886 57443 67983 73358 79329 79679 87006 92977 110037 114886 135966 145297 158658 159358 172329 185954 220074 239037 278931 290594 344658 435891 449531 478074 557862 623543 871782 899062 1137049 1247086 1348593 1580609 1870629 2274098 2470049 2697186 2882287 3161218 3411147 3741258 3998011 4741827 4940098 5764574 6822294 7410147 7996022 8646861 9483654 11994033 14820294 17293722 19329833 23988066 38659666 48998879 57989499 67966187 97997758 115978998 123938341 135932374 146996637 203898561 247876682 293993274 371815023 407797122 743630046 2106951797 4213903594 6320855391 12641710782