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12563234268 = 22313415337061
BaseRepresentation
bin10111011001101001…
…11011110111011100
31012102112221102111220
423230310323313130
5201212141444033
65434345413340
7623220505104
oct135464736734
935375842456
1012563234268
115367688942
12252749a250
131252a59a40
14872754204
154d7e29bb3
hex2ecd3bddc

12563234268 has 96 divisors (see below), whose sum is σ = 32950193472. Its totient is φ = 3700070400.

The previous prime is 12563234261. The next prime is 12563234273. The reversal of 12563234268 is 86243236521.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12563234261) 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, 320458 + ... + 357518.

It is an arithmetic number, because the mean of its divisors is an integer number (343231182).

Almost surely, 212563234268 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 12563234268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475096736).

12563234268 is an abundant number, since it is smaller than the sum of its proper divisors (20386959204).

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

12563234268 is a wasteful number, since it uses less digits than its factorization.

12563234268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37175 (or 37173 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The spelling of 12563234268 in words is "twelve billion, five hundred sixty-three million, two hundred thirty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 53 78 82 106 123 156 159 164 212 246 318 492 533 636 689 1066 1378 1599 2067 2132 2173 2756 3198 4134 4346 6396 6519 8268 8692 13038 26076 28249 37061 56498 74122 84747 111183 112996 148244 169494 222366 338988 444732 481793 963586 1445379 1519501 1927172 1964233 2890758 3039002 3928466 4558503 5781516 5892699 6078004 7856932 9117006 11785398 18234012 19753513 23570796 25535029 39507026 51070058 59260539 76605087 79014052 80533553 102140116 118521078 153210174 161067106 237042156 241600659 306420348 322134212 483201318 966402636 1046936189 2093872378 3140808567 4187744756 6281617134 12563234268