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12655875372 = 22372116731061
BaseRepresentation
bin10111100100101100…
…10101010100101100
31012200000021002012220
423302112111110230
5201404401002442
65451455155340
7625424110560
oct136226252454
935600232186
1012655875372
115404a03538
122552515b50
131268cc4b6a
14880b8b6a0
154e1128eec
hex2f259552c

12655875372 has 96 divisors (see below), whose sum is σ = 33991340544. Its totient is φ = 3590092800.

The previous prime is 12655875329. The next prime is 12655875391. The reversal of 12655875372 is 27357855621.

It is a happy number.

12655875372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126558753722 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 11927722 + ... + 11928782.

It is an arithmetic number, because the mean of its divisors is an integer number (354076464).

Almost surely, 212655875372 is an apocalyptic number.

12655875372 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 12655875372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16995670272).

12655875372 is an abundant number, since it is smaller than the sum of its proper divisors (21335465172).

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

12655875372 is a wasteful number, since it uses less digits than its factorization.

12655875372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1957 counting only the distinct ones).

The product of its digits is 3528000, while the sum is 51.

It can be divided in two parts, 126558 and 75372, that added together give a triangular number (201930 = T635).

The spelling of 12655875372 in words is "twelve billion, six hundred fifty-five million, eight hundred seventy-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 211 422 633 673 844 1061 1266 1346 1477 2019 2122 2532 2692 2954 3183 4038 4244 4431 4711 5908 6366 7427 8076 8862 9422 12732 14133 14854 17724 18844 22281 28266 29708 44562 56532 89124 142003 223871 284006 426009 447742 568012 671613 714053 852018 895484 994021 1343226 1428106 1567097 1704036 1988042 2142159 2686452 2856212 2982063 3134194 3976084 4284318 4701291 4998371 5964126 6268388 8568636 9402582 9996742 11928252 14995113 18805164 19993484 29990226 59980452 150665183 301330366 451995549 602660732 903991098 1054656281 1807982196 2109312562 3163968843 4218625124 6327937686 12655875372