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12111435984 = 243594276637
BaseRepresentation
bin10110100011110010…
…11101100011010000
31011021001210200210010
423101321131203100
5144301011422414
65321450034520
7606063335664
oct132171354320
934231720703
1012111435984
11515565412a
122420118a40
1311b028068b
1482c7488a4
154ad433959
hex2d1e5d8d0

12111435984 has 40 divisors (see below), whose sum is σ = 31818186720. Its totient is φ = 3968718208.

The previous prime is 12111435929. The next prime is 12111436003. The reversal of 12111435984 is 48953411121.

It is a happy number.

12111435984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2135487 + ... + 2141150.

It is an arithmetic number, because the mean of its divisors is an integer number (795454668).

Almost surely, 212111435984 is an apocalyptic number.

It is an amenable number.

12111435984 is an abundant number, since it is smaller than the sum of its proper divisors (19706750736).

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

12111435984 is a wasteful number, since it uses less digits than its factorization.

12111435984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276707 (or 4276701 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The spelling of 12111435984 in words is "twelve billion, one hundred eleven million, four hundred thirty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 4276637 8553274 12829911 17106548 25659822 34213096 51319644 68426192 102639288 205278576 252321583 504643166 756964749 1009286332 1513929498 2018572664 3027858996 4037145328 6055717992 12111435984