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12737864412 = 22337133141809
BaseRepresentation
bin10111101110011110…
…00110001011011100
31012212201112120001000
423313033012023130
5202041343130122
65503544350300
7630441026640
oct136717061334
935781476030
1012737864412
115447213079
122575a75390
13127cca06a0
1488ba10c20
154e84220ac
hex2f73c62dc

12737864412 has 192 divisors, whose sum is σ = 41957171200. Its totient is φ = 3250990080.

The previous prime is 12737864407. The next prime is 12737864441. The reversal of 12737864412 is 21446873721.

12737864412 is a `hidden beast` number, since 127 + 3 + 7 + 86 + 441 + 2 = 666.

It is a super-2 number, since 2×127378644122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 283764 + ... + 325572.

Almost surely, 212737864412 is an apocalyptic number.

12737864412 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 12737864412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20978585600).

12737864412 is an abundant number, since it is smaller than the sum of its proper divisors (29219306788).

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

12737864412 is a wasteful number, since it uses less digits than its factorization.

12737864412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41873 (or 41865 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 12737864412 in words is "twelve billion, seven hundred thirty-seven million, eight hundred sixty-four thousand, four hundred twelve".