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12487015992 = 23311192131023
BaseRepresentation
bin10111010000100100…
…01011111000111000
31012020020112010200210
423220102023320320
5201033134002432
65423024031120
7621303612303
oct135022137070
935206463623
1012487015992
11532865aa30
122505a624a0
131240021a79
14866593b3a
154d13c18cc
hex2e848be38

12487015992 has 96 divisors (see below), whose sum is σ = 35942503680. Its totient is φ = 3584761920.

The previous prime is 12487015969. The next prime is 12487016021. The reversal of 12487015992 is 29951078421.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29793 + ... + 160815.

It is an arithmetic number, because the mean of its divisors is an integer number (374401080).

Almost surely, 212487015992 is an apocalyptic number.

12487015992 is a gapful number since it is divisible by the number (12) 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 12487015992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17971251840).

12487015992 is an abundant number, since it is smaller than the sum of its proper divisors (23455487688).

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

12487015992 is a wasteful number, since it uses less digits than its factorization.

12487015992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131081 (or 131058 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 12487015992 in words is "twelve billion, four hundred eighty-seven million, fifteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 361 418 456 627 722 836 1083 1254 1444 1672 2166 2508 2888 3971 4332 5016 7942 8664 11913 15884 23826 31768 47652 95304 131023 262046 393069 524092 786138 1048184 1441253 1572276 2489437 2882506 3144552 4323759 4978874 5765012 7468311 8647518 9957748 11530024 14936622 17295036 19915496 27383807 29873244 34590072 47299303 54767614 59746488 82151421 94598606 109535228 141897909 164302842 189197212 219070456 283795818 328605684 378394424 520292333 567591636 657211368 1040584666 1135183272 1560876999 2081169332 3121753998 4162338664 6243507996 12487015992