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12487137264 = 243273252817
BaseRepresentation
bin10111010000100101…
…01001011111110000
31012020020202022001100
423220102221133300
5201033201343024
65423030404400
7621304626000
oct135022513760
935206668040
1012487137264
115328733058
122505b00700
131240065024
148665c6000
154d13e77c9
hex2e84a97f0

12487137264 has 120 divisors (see below), whose sum is σ = 40754261600. Its totient is φ = 3567739392.

The previous prime is 12487137251. The next prime is 12487137281. The reversal of 12487137264 is 46273178421.

12487137264 is a `hidden beast` number, since 12 + 487 + 137 + 26 + 4 = 666.

12487137264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 77017 + ... + 175800.

Almost surely, 212487137264 is an apocalyptic number.

12487137264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12487137264 is an abundant number, since it is smaller than the sum of its proper divisors (28267124336).

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

12487137264 is a wasteful number, since it uses less digits than its factorization.

12487137264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252852 (or 252829 counting only the distinct ones).

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

The spelling of 12487137264 in words is "twelve billion, four hundred eighty-seven million, one hundred thirty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1176 1372 1764 2058 2352 2744 3087 3528 4116 5488 6174 7056 8232 12348 16464 24696 49392 252817 505634 758451 1011268 1516902 1769719 2022536 2275353 3033804 3539438 4045072 4550706 5309157 6067608 7078876 9101412 10618314 12135216 12388033 14157752 15927471 18202824 21236628 24776066 28315504 31854942 36405648 37164099 42473256 49552132 63709884 74328198 84946512 86716231 99104264 111492297 127419768 148656396 173432462 198208528 222984594 254839536 260148693 297312792 346864924 445969188 520297386 594625584 693729848 780446079 891938376 1040594772 1387459696 1560892158 1783876752 2081189544 3121784316 4162379088 6243568632 12487137264