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12672249100 = 2252783218111
BaseRepresentation
bin10111100110101001…
…10010110100001100
31012201011001221202021
423303110302310030
5201423043432400
65453242135524
7626013224440
oct136324626414
935634057667
1012672249100
115413177345
122557ab15a4
13126c508864
14883010820
154e27b071a
hex2f3532d0c

12672249100 has 72 divisors (see below), whose sum is σ = 31805964288. Its totient is φ = 4292404800.

The previous prime is 12672249091. The next prime is 12672249133. The reversal of 12672249100 is 194227621.

12672249100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 50956 + ... + 167155.

It is an arithmetic number, because the mean of its divisors is an integer number (441749504).

Almost surely, 212672249100 is an apocalyptic number.

12672249100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12672249100 is an abundant number, since it is smaller than the sum of its proper divisors (19133715188).

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

12672249100 is a wasteful number, since it uses less digits than its factorization.

12672249100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218215 (or 218208 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 12672249100 in words is "twelve billion, six hundred seventy-two million, two hundred forty-nine thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 83 100 140 166 175 332 350 415 581 700 830 1162 1660 2075 2324 2905 4150 5810 8300 11620 14525 29050 58100 218111 436222 872444 1090555 1526777 2181110 3053554 4362220 5452775 6107108 7633885 10905550 15267770 18103213 21811100 30535540 36206426 38169425 72412852 76338850 90516065 126722491 152677700 181032130 253444982 362064260 452580325 506889964 633612455 905160650 1267224910 1810321300 2534449820 3168062275 6336124550 12672249100