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12656199160 = 23511971032879
BaseRepresentation
bin10111100100101111…
…00100010111111000
31012200000212112101001
423302113210113320
5201404441333120
65451510134344
7625426626553
oct136227442770
935600775331
1012656199160
115405104830
1225526513b4
1312690a9357
14880c3369a
154e118ee0a
hex2f25e45f8

12656199160 has 128 divisors (see below), whose sum is σ = 31701196800. Its totient is φ = 4509020160.

The previous prime is 12656199131. The next prime is 12656199161. The reversal of 12656199160 is 6199165621.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12656199160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12656199161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4394601 + ... + 4397479.

It is an arithmetic number, because the mean of its divisors is an integer number (247665600).

Almost surely, 212656199160 is an apocalyptic number.

12656199160 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 12656199160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15850598400).

12656199160 is an abundant number, since it is smaller than the sum of its proper divisors (19044997640).

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

12656199160 is a wasteful number, since it uses less digits than its factorization.

12656199160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The spelling of 12656199160 in words is "twelve billion, six hundred fifty-six million, one hundred ninety-nine thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 97 103 110 194 206 220 388 412 440 485 515 776 824 970 1030 1067 1133 1940 2060 2134 2266 2879 3880 4120 4268 4532 5335 5665 5758 8536 9064 9991 10670 11330 11516 14395 19982 21340 22660 23032 28790 31669 39964 42680 45320 49955 57580 63338 79928 99910 109901 115160 126676 158345 199820 219802 253352 279263 296537 316690 399640 439604 549505 558526 593074 633380 879208 1099010 1117052 1186148 1266760 1396315 1482685 2198020 2234104 2372296 2792630 2965370 3071893 3261907 4396040 5585260 5930740 6143786 6523814 11170520 11861480 12287572 13047628 15359465 16309535 24575144 26095256 28764089 30718930 32619070 57528178 61437860 65238140 115056356 122875720 130476280 143820445 230112712 287640890 316404979 575281780 632809958 1150563560 1265619916 1582024895 2531239832 3164049790 6328099580 12656199160