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12825551700 = 223252131096201
BaseRepresentation
bin10111111000111011…
…00110001101010100
31020002211112112101100
423330131212031110
5202231320123300
65520400030100
7632554251003
oct137435461524
936084475340
1012825551700
115491764905
12259b302330
1312951c2a60
14899518c3a
15500e93700
hex2fc766354

12825551700 has 108 divisors (see below), whose sum is σ = 43293401788. Its totient is φ = 3157056000.

The previous prime is 12825551699. The next prime is 12825551731. The reversal of 12825551700 is 715552821.

12825551700 is a `hidden beast` number, since 12 + 8 + 25 + 551 + 70 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4275590544 + 8549961156 = 65388^2 + 92466^2 .

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 536401 + ... + 559800.

Almost surely, 212825551700 is an apocalyptic number.

12825551700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12825551700 is an abundant number, since it is smaller than the sum of its proper divisors (30467850088).

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

12825551700 is a wasteful number, since it uses less digits than its factorization.

12825551700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096234 (or 1096224 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 12825551700 in words is "twelve billion, eight hundred twenty-five million, five hundred fifty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 1096201 2192402 3288603 4384804 5481005 6577206 9865809 10962010 13154412 14250613 16443015 19731618 21924020 27405025 28501226 32886030 39463236 42751839 49329045 54810050 57002452 65772060 71253065 82215075 85503678 98658090 109620100 128255517 142506130 164430150 171007356 197316180 213759195 246645225 256511034 285012260 328860300 356265325 427518390 493290450 513022068 641277585 712530650 855036780 986580900 1068795975 1282555170 1425061300 2137591950 2565110340 3206387925 4275183900 6412775850 12825551700