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12793475904 = 2631128121557
BaseRepresentation
bin10111110101000110…
…01111001101000000
31020000121011220122220
423322203033031000
5202200112212104
65513252331040
7632014515366
oct137243171500
936017156586
1012793475904
115475646890
122590613a80
13128b671cb1
14895169636
154ed2597d9
hex2fa8cf340

12793475904 has 112 divisors (see below), whose sum is σ = 37059754176. Its totient is φ = 3862835200.

The previous prime is 12793475887. The next prime is 12793475917. The reversal of 12793475904 is 40957439721.

It is a happy number.

12793475904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 582694 + ... + 604250.

Almost surely, 212793475904 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 12793475904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18529877088).

12793475904 is an abundant number, since it is smaller than the sum of its proper divisors (24266278272).

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

12793475904 is a wasteful number, since it uses less digits than its factorization.

12793475904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21864 (or 21854 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 12793475904 in words is "twelve billion, seven hundred ninety-three million, four hundred seventy-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 281 352 528 562 704 843 1056 1124 1686 2112 2248 3091 3372 4496 6182 6744 8992 9273 12364 13488 17984 18546 21557 24728 26976 37092 43114 49456 53952 64671 74184 86228 98912 129342 148368 172456 197824 237127 258684 296736 344912 474254 517368 593472 689824 711381 948508 1034736 1379648 1422762 1897016 2069472 2845524 3794032 4138944 5691048 6057517 7588064 11382096 12115034 15176128 18172551 22764192 24230068 36345102 45528384 48460136 66632687 72690204 96920272 133265374 145380408 193840544 199898061 266530748 290760816 387681088 399796122 533061496 581521632 799592244 1066122992 1163043264 1599184488 2132245984 3198368976 4264491968 6396737952 12793475904