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12540345324 = 223131737227563
BaseRepresentation
bin10111010110111011…
…00111101111101100
31012100221212112210020
423223131213233230
5201140312022244
65432211042140
7622522114353
oct135335475754
935327775706
1012540345324
115355775061
12251b8a0350
13124b0a46a0
1486d6b699a
154d5e07d19
hex2eb767bec

12540345324 has 192 divisors, whose sum is σ = 34479115776. Its totient is φ = 3511627776.

The previous prime is 12540345299. The next prime is 12540345343. The reversal of 12540345324 is 42354304521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22273867 + ... + 22274429.

It is an arithmetic number, because the mean of its divisors is an integer number (179578728).

Almost surely, 212540345324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12540345324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17239557888).

12540345324 is an abundant number, since it is smaller than the sum of its proper divisors (21938770452).

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

12540345324 is a wasteful number, since it uses less digits than its factorization.

12540345324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 12540345324 its reverse (42354304521), we get a palindrome (54894649845).

The spelling of 12540345324 in words is "twelve billion, five hundred forty million, three hundred forty-five thousand, three hundred twenty-four".