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12678630750 = 2325313741131
BaseRepresentation
bin10111100111011010…
…01000110101011110
31012201121002011201200
423303231020311132
5201431212141000
65454031020330
7626121404022
oct136355106536
935647064650
1012678630750
115416835a35
12255a06a6a6
131270931496
14883bd2382
154e3121500
hex2f3b48d5e

12678630750 has 96 divisors (see below), whose sum is σ = 34534098144. Its totient is φ = 3356208000.

The previous prime is 12678630739. The next prime is 12678630751. The reversal of 12678630750 is 5703687621.

12678630750 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 8 + 630 + 7 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 12678630696 and 12678630705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12678630751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287685 + ... + 328815.

It is an arithmetic number, because the mean of its divisors is an integer number (359730189).

Almost surely, 212678630750 is an apocalyptic number.

12678630750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12678630750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17267049072).

12678630750 is an abundant number, since it is smaller than the sum of its proper divisors (21855467394).

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

12678630750 is a wasteful number, since it uses less digits than its factorization.

12678630750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41291 (or 41278 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12678630750 in words is "twelve billion, six hundred seventy-eight million, six hundred thirty thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 137 150 225 250 274 375 411 450 685 750 822 1125 1233 1370 2055 2250 2466 3425 4110 6165 6850 10275 12330 17125 20550 30825 34250 41131 51375 61650 82262 102750 123393 154125 205655 246786 308250 370179 411310 616965 740358 1028275 1233930 1850895 2056550 3084825 3701790 5141375 5634947 6169650 9254475 10282750 11269894 15424125 16904841 18508950 28174735 30848250 33809682 46272375 50714523 56349470 84524205 92544750 101429046 140873675 169048410 253572615 281747350 422621025 507145230 704368375 845242050 1267863075 1408736750 2113105125 2535726150 4226210250 6339315375 12678630750