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12326635134 = 23311238271091
BaseRepresentation
bin10110111101011100…
…11000011001111110
31011211001201221112000
423132232120121332
5200221104311014
65355054323130
7614315445522
oct133656303176
934731657460
1012326635134
115256078470
1224801b94a6
131215a29b58
1484d165d82
154c2291509
hex2deb9867e

12326635134 has 128 divisors (see below), whose sum is σ = 31248322560. Its totient is φ = 3565346400.

The previous prime is 12326635133. The next prime is 12326635141. The reversal of 12326635134 is 43153662321.

12326635134 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 6 + 635 + 13 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12326635133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11297929 + ... + 11299019.

It is an arithmetic number, because the mean of its divisors is an integer number (244127520).

Almost surely, 212326635134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12326635134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624161280).

12326635134 is an abundant number, since it is smaller than the sum of its proper divisors (18921687426).

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

12326635134 is a wasteful number, since it uses less digits than its factorization.

12326635134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1957 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

It can be divided in two parts, 1232 and 6635134, that added together give a palindrome (6636366).

The spelling of 12326635134 in words is "twelve billion, three hundred twenty-six million, six hundred thirty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 827 1091 1242 1518 1654 2182 2277 2481 3273 4554 4962 6546 6831 7443 9097 9819 12001 13662 14886 18194 19021 19638 22329 24002 25093 27291 29457 36003 38042 44658 50186 54582 57063 58914 72006 75279 81873 108009 114126 150558 163746 171189 209231 216018 225837 245619 276023 324027 342378 418462 451674 491238 513567 552046 627693 648054 677511 828069 902257 1027134 1255386 1355022 1656138 1804514 1883079 2484207 2706771 3766158 4968414 5413542 5649237 7452621 8120313 9924827 11298474 14905242 16240626 19849654 20751911 24360939 29774481 41503822 48721878 59548962 62255733 89323443 124511466 178646886 186767199 228271021 267970329 373534398 456542042 535940658 560301597 684813063 1120603194 1369626126 2054439189 4108878378 6163317567 12326635134