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12083749812 = 22322911574473
BaseRepresentation
bin10110100000011111…
…10110001110110100
31011012010201002111100
423100033312032310
5144221414443222
65315020410100
7605306115201
oct132017661664
934163632440
1012083749812
115140a640a2
1224129a6930
1311a7608924
14828bbcca8
154aacb54ac
hex2d03f63b4

12083749812 has 36 divisors (see below), whose sum is σ = 31598314020. Its totient is φ = 3889022592.

The previous prime is 12083749781. The next prime is 12083749813. The reversal of 12083749812 is 21894738021.

It is a happy number.

12083749812 is a `hidden beast` number, since 120 + 8 + 37 + 498 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6319296036 + 5764453776 = 79494^2 + 75924^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12083749813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5786193 + ... + 5788280.

It is an arithmetic number, because the mean of its divisors is an integer number (877730945).

Almost surely, 212083749812 is an apocalyptic number.

12083749812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12083749812 is an abundant number, since it is smaller than the sum of its proper divisors (19514564208).

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

12083749812 is a wasteful number, since it uses less digits than its factorization.

12083749812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11574512 (or 11574507 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12083749812 in words is "twelve billion, eighty-three million, seven hundred forty-nine thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 11574473 23148946 34723419 46297892 69446838 104170257 138893676 208340514 335659717 416681028 671319434 1006979151 1342638868 2013958302 3020937453 4027916604 6041874906 12083749812