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12999509136 = 24321783137467
BaseRepresentation
bin11000001101101010…
…01100010010010000
31020112221212111010100
430012311030102100
5203110333243021
65545532332400
7640066001355
oct140665142220
936487774110
1012999509136
11557097a689
122629614100
1312c225c453
148b467c62c
155113a6626
hex306d4c490

12999509136 has 240 divisors, whose sum is σ = 39353356224. Its totient is φ = 3991166976.

The previous prime is 12999509069. The next prime is 12999509143. The reversal of 12999509136 is 63190599921.

12999509136 is a `hidden beast` number, since 12 + 9 + 99 + 509 + 1 + 36 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27835975 + ... + 27836441.

Almost surely, 212999509136 is an apocalyptic number.

12999509136 is a gapful number since it is divisible by the number (16) 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 12999509136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19676678112).

12999509136 is an abundant number, since it is smaller than the sum of its proper divisors (26353847088).

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

12999509136 is a wasteful number, since it uses less digits than its factorization.

12999509136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The spelling of 12999509136 in words is "twelve billion, nine hundred ninety-nine million, five hundred nine thousand, one hundred thirty-six".