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12131732655 = 3257192027023
BaseRepresentation
bin10110100110001101…
…11000110010101111
31011022110222212120200
423103012320302233
5144321210421110
65323453044543
7606431011650
oct132306706257
934273885520
1012131732655
115166057339
122426a86753
1311b4538b43
1483130d527
154b00e26c0
hex2d31b8caf

12131732655 has 48 divisors (see below), whose sum is σ = 25297259520. Its totient is φ = 5254041024.

The previous prime is 12131732609. The next prime is 12131732663. The reversal of 12131732655 is 55623713121.

12131732655 is a `hidden beast` number, since 12 + 1 + 317 + 326 + 5 + 5 = 666.

It is not a de Polignac number, because 12131732655 - 210 = 12131731631 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007527 + ... + 1019496.

It is an arithmetic number, because the mean of its divisors is an integer number (527026240).

Almost surely, 212131732655 is an apocalyptic number.

12131732655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12131732655 is an abundant number, since it is smaller than the sum of its proper divisors (13165526865).

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

12131732655 is a wasteful number, since it uses less digits than its factorization.

12131732655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027060 (or 2027057 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The spelling of 12131732655 in words is "twelve billion, one hundred thirty-one million, seven hundred thirty-two thousand, six hundred fifty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 2027023 6081069 10135115 14189161 18243207 30405345 38513437 42567483 70945805 91216035 115540311 127702449 192567185 212837415 269594059 346620933 577701555 638512245 808782177 1347970295 1733104665 2426346531 4043910885 12131732655