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12591112816 = 242954150159
BaseRepresentation
bin10111011100111110…
…10010001001110000
31012111111101210200201
423232133102021300
5201241311102231
65441223124544
7624006456502
oct135637221160
935444353621
1012591112816
11538139a467
1225348a3754
13125876b219
1487632dd72
154da5d5161
hex2ee7d2270

12591112816 has 40 divisors (see below), whose sum is σ = 25283649600. Its totient is φ = 6067111680.

The previous prime is 12591112741. The next prime is 12591112817. The reversal of 12591112816 is 61821119521.

It is a happy number.

It is a super-2 number, since 2×125911128162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12591112817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225945 + ... + 276103.

It is an arithmetic number, because the mean of its divisors is an integer number (632091240).

Almost surely, 212591112816 is an apocalyptic number.

12591112816 is a gapful number since it is divisible by the number (16) 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 12591112816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12641824800).

12591112816 is an abundant number, since it is smaller than the sum of its proper divisors (12692536784).

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

12591112816 is a wasteful number, since it uses less digits than its factorization.

12591112816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50737 (or 50731 counting only the distinct ones).

The product of its digits is 8640, while the sum is 37.

The spelling of 12591112816 in words is "twelve billion, five hundred ninety-one million, one hundred twelve thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 29 58 116 232 464 541 1082 2164 4328 8656 15689 31378 50159 62756 100318 125512 200636 251024 401272 802544 1454611 2909222 5818444 11636888 23273776 27136019 54272038 108544076 217088152 434176304 786944551 1573889102 3147778204 6295556408 12591112816