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12640541001 = 3112229152063
BaseRepresentation
bin10111100010110111…
…10101100101001001
31012121221102000102020
423301123311211021
5201341434303001
65450150355053
7625146553134
oct136133654511
935557360366
1012640541001
1153a728a600
12254935ba89
131265a8627a
1487cb1921b
154deaea736
hex2f16f5949

12640541001 has 24 divisors (see below), whose sum is σ = 18606551040. Its totient is φ = 7627429920.

The previous prime is 12640540993. The next prime is 12640541033. The reversal of 12640541001 is 10014504621.

It is a happy number.

It is not a de Polignac number, because 12640541001 - 23 = 12640540993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12640541041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7096 + ... + 159158.

It is an arithmetic number, because the mean of its divisors is an integer number (775272960).

Almost surely, 212640541001 is an apocalyptic number.

12640541001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12640541001 is a deficient number, since it is larger than the sum of its proper divisors (5966010039).

12640541001 is a wasteful number, since it uses less digits than its factorization.

12640541001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152317 (or 152306 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 12640541001 in words is "twelve billion, six hundred forty million, five hundred forty-one thousand, one".

Divisors: 1 3 11 33 121 229 363 687 2519 7557 27709 83127 152063 456189 1672693 5018079 18399623 34822427 55198869 104467281 383046697 1149140091 4213513667 12640541001