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12494993472 = 2633131732719
BaseRepresentation
bin10111010001100001…
…00111100001000000
31012020210112102202000
423220300213201000
5201042204242342
65423511024000
7621431456253
oct135060474100
935223472660
1012494993472
115332109595
12250866b000
131241885b80
1486766d09a
154d1e4a44c
hex2e8c27840

12494993472 has 224 divisors, whose sum is σ = 41886835200. Its totient is φ = 3618349056.

The previous prime is 12494993471. The next prime is 12494993519. The reversal of 12494993472 is 27439949421.

12494993472 is a `hidden beast` number, since 1 + 2 + 49 + 49 + 93 + 472 = 666.

It is a super-2 number, since 2×124949934722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12494993471) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 365529 + ... + 398247.

It is an arithmetic number, because the mean of its divisors is an integer number (186994800).

Almost surely, 212494993472 is an apocalyptic number.

12494993472 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 12494993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20943417600).

12494993472 is an abundant number, since it is smaller than the sum of its proper divisors (29391841728).

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

12494993472 is a wasteful number, since it uses less digits than its factorization.

12494993472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32770 (or 32754 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 12494993472 in words is "twelve billion, four hundred ninety-four million, nine hundred ninety-three thousand, four hundred seventy-two".