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12410072672 = 251511256661
BaseRepresentation
bin10111000111011001…
…01010111001100000
31012000212202000022012
423203230222321200
5200403434311142
65411234532052
7616350606614
oct134354527140
935025660265
1012410072672
115299187308
1224a4137028
13122a0c1a8a
1485a285344
154c9773882
hex2e3b2ae60

12410072672 has 24 divisors (see below), whose sum is σ = 24448595472. Its totient is φ = 6200905600.

The previous prime is 12410072669. The next prime is 12410072677. The reversal of 12410072672 is 27627001421.

12410072672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12410072677) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 79979 + ... + 176682.

It is an arithmetic number, because the mean of its divisors is an integer number (1018691478).

Almost surely, 212410072672 is an apocalyptic number.

It is an amenable number.

12410072672 is a deficient number, since it is larger than the sum of its proper divisors (12038522800).

12410072672 is a wasteful number, since it uses less digits than its factorization.

12410072672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258182 (or 258174 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 12410072672 in words is "twelve billion, four hundred ten million, seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 1511 3022 6044 12088 24176 48352 256661 513322 1026644 2053288 4106576 8213152 387814771 775629542 1551259084 3102518168 6205036336 12410072672