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12449914092 = 223271123113171
BaseRepresentation
bin10111001100001001…
…01001110011101100
31012010122201011110100
423212010221303230
5200444134222332
65415220511100
7620343344430
oct134604516354
935118634410
1012449914092
115309719800
1224b554b490
131235431395
148616969c0
154ccee367c
hex2e6129cec

12449914092 has 216 divisors, whose sum is σ = 40811703296. Its totient is φ = 3129192000.

The previous prime is 12449914091. The next prime is 12449914093. The reversal of 12449914092 is 29041994421.

It is a happy number.

12449914092 is a `hidden beast` number, since 12 + 4 + 499 + 140 + 9 + 2 = 666.

12449914092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12449914091) and next prime (12449914093).

It is not an unprimeable number, because it can be changed into a prime (12449914091) 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 71 ways as a sum of consecutive naturals, for example, 938667 + ... + 951837.

Almost surely, 212449914092 is an apocalyptic number.

12449914092 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 12449914092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20405851648).

12449914092 is an abundant number, since it is smaller than the sum of its proper divisors (28361789204).

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

12449914092 is a wasteful number, since it uses less digits than its factorization.

12449914092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13241 (or 13225 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 12449914092 in words is "twelve billion, four hundred forty-nine million, nine hundred fourteen thousand, ninety-two".