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12926243304 = 23331313273469
BaseRepresentation
bin11000000100111011…
…01101000111101000
31020100212000012022000
430002131231013220
5202433104241204
65534354131000
7635216153352
oct140235550750
936325005260
1012926243304
115533588a07
122608b80a60
1312b00192a0
148a8a4a0d2
15509c33039
hex30276d1e8

12926243304 has 128 divisors (see below), whose sum is σ = 38708544000. Its totient is φ = 3973162752.

The previous prime is 12926243273. The next prime is 12926243327. The reversal of 12926243304 is 40334262921.

12926243304 is a `hidden beast` number, since 1 + 29 + 2 + 624 + 3 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3724482 + ... + 3727950.

It is an arithmetic number, because the mean of its divisors is an integer number (302410500).

Almost surely, 212926243304 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 12926243304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19354272000).

12926243304 is an abundant number, since it is smaller than the sum of its proper divisors (25782300696).

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

12926243304 is a wasteful number, since it uses less digits than its factorization.

12926243304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 12926243304 in words is "twelve billion, nine hundred twenty-six million, two hundred forty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1327 1404 2654 2808 3469 3981 5308 6938 7962 10407 10616 11943 13876 15924 17251 20814 23886 27752 31221 31848 34502 35829 41628 45097 47772 51753 62442 69004 71658 83256 90194 93663 95544 103506 124884 135291 138008 143316 155259 180388 187326 207012 249768 270582 286632 310518 360776 374652 405873 414024 465777 541164 621036 749304 811746 931554 1082328 1217619 1242072 1623492 1863108 2435238 3246984 3726216 4603363 4870476 9206726 9740952 13810089 18413452 27620178 36826904 41430267 55240356 59843719 82860534 110480712 119687438 124290801 165721068 179531157 239374876 248581602 331442136 359062314 478749752 497163204 538593471 718124628 994326408 1077186942 1436249256 1615780413 2154373884 3231560826 4308747768 6463121652 12926243304