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12834320856 = 2337417692423
BaseRepresentation
bin10111111001111110…
…00011000111011000
31020010110001001101220
423330333003013120
5202241041231411
65521312012040
7633021633030
oct137477030730
936113031356
1012834320856
115496704245
1225a2231020
131296c732c6
1489a75c8c0
15501b26b06
hex2fcfc31d8

12834320856 has 128 divisors (see below), whose sum is σ = 37628236800. Its totient is φ = 3571384320.

The previous prime is 12834320839. The next prime is 12834320857. The reversal of 12834320856 is 65802343821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12834320857) 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, 5295661 + ... + 5298083.

It is an arithmetic number, because the mean of its divisors is an integer number (293970600).

Almost surely, 212834320856 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 12834320856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18814118400).

12834320856 is an abundant number, since it is smaller than the sum of its proper divisors (24793915944).

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

12834320856 is a wasteful number, since it uses less digits than its factorization.

12834320856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 12834320856 in words is "twelve billion, eight hundred thirty-four million, three hundred twenty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 769 861 984 1148 1538 1722 2296 2307 2423 3076 3444 4614 4846 5383 6152 6888 7269 9228 9692 10766 14538 16149 16961 18456 19384 21532 29076 31529 32298 33922 43064 50883 58152 63058 64596 67844 94587 99343 101766 126116 129192 135688 189174 198686 203532 220703 252232 298029 378348 397372 407064 441406 596058 662109 695401 756696 794744 882812 1192116 1324218 1390802 1765624 1863287 2086203 2384232 2648436 2781604 3726574 4172406 5296872 5563208 5589861 7453148 8344812 11179722 13043009 14906296 16689624 22359444 26086018 39129027 44718888 52172036 76394767 78258054 104344072 152789534 156516108 229184301 305579068 313032216 458368602 534763369 611158136 916737204 1069526738 1604290107 1833474408 2139053476 3208580214 4278106952 6417160428 12834320856