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27800738812 = 22711272711287
BaseRepresentation
bin11001111001000011…
…011001101111111100
32122202110222212012001
4121321003121233330
5423413442120222
620434350152044
72002633244440
oct317103315774
978673885161
1027800738812
1110876879600
12547a4b2624
132810861b12
1414ba320820
15acaa05e27
hex6790d9bfc

27800738812 has 72 divisors (see below), whose sum is σ = 61205161472. Its totient is φ = 10815599520.

The previous prime is 27800738767. The next prime is 27800738813. The reversal of 27800738812 is 21883700872.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27800738813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2457433 + ... + 2468719.

Almost surely, 227800738812 is an apocalyptic number.

27800738812 is a gapful number since it is divisible by the number (22) 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 27800738812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30602580736).

27800738812 is an abundant number, since it is smaller than the sum of its proper divisors (33404422660).

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

27800738812 is a wasteful number, since it uses less digits than its factorization.

27800738812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12047 (or 12034 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 46.

The spelling of 27800738812 in words is "twenty-seven billion, eight hundred million, seven hundred thirty-eight thousand, eight hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 727 847 1454 1694 2908 3388 5089 7997 10178 11287 15994 20356 22574 31988 45148 55979 79009 87967 111958 124157 158018 175934 223916 248314 316036 351868 496628 615769 869099 1231538 1365727 1738198 2463076 2731454 3476396 5462908 8205649 9560089 16411298 19120178 32822596 38240356 57439543 90262139 114879086 180524278 229758172 361048556 631834973 992883529 1263669946 1985767058 2527339892 3971534116 6950184703 13900369406 27800738812