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12558864340 = 225111923130631
BaseRepresentation
bin10111011001001000…
…10000111111010100
31012102020201102002201
423230210100333110
5201210032124330
65434112014244
7623135404561
oct135444207724
935366642081
1012558864340
115365173730
122525b31384
131251b89999
14871d37868
154d7864eca
hex2ec910fd4

12558864340 has 96 divisors (see below), whose sum is σ = 31602493440. Its totient is φ = 4138358400.

The previous prime is 12558864319. The next prime is 12558864349. The reversal of 12558864340 is 4346885521.

12558864340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12558864349) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30825 + ... + 161455.

It is an arithmetic number, because the mean of its divisors is an integer number (329192640).

Almost surely, 212558864340 is an apocalyptic number.

12558864340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12558864340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15801246720).

12558864340 is an abundant number, since it is smaller than the sum of its proper divisors (19043629100).

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

12558864340 is a wasteful number, since it uses less digits than its factorization.

12558864340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130693 (or 130691 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 12558864340 in words is "twelve billion, five hundred fifty-eight million, eight hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 23 38 44 46 55 76 92 95 110 115 190 209 220 230 253 380 418 437 460 506 836 874 1012 1045 1265 1748 2090 2185 2530 4180 4370 4807 5060 8740 9614 19228 24035 48070 96140 130631 261262 522524 653155 1306310 1436941 2481989 2612620 2873882 3004513 4963978 5747764 6009026 7184705 9927956 12018052 12409945 14369410 15022565 24819890 27301879 28738820 30045130 33049643 49639780 54603758 57085747 60090260 66099286 109207516 114171494 132198572 136509395 165248215 228342988 273018790 285428735 330496430 546037580 570857470 627943217 660992860 1141714940 1255886434 2511772868 3139716085 6279432170 12558864340