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13123875492 = 223271321718127
BaseRepresentation
bin11000011100011111…
…00111001010100100
31020212121212221200200
430032033213022210
5203334203003432
610010134110500
7643136046450
oct141617471244
936777787620
1013123875492
1156250a39a2
1226631ab430
131311c54900
148c6db3660
1551c270a7c
hex30e3e72a4

13123875492 has 216 divisors, whose sum is σ = 43471524096. Its totient is φ = 3257459712.

The previous prime is 13123875473. The next prime is 13123875497. The reversal of 13123875492 is 29457832131.

It is a happy number.

13123875492 is a `hidden beast` number, since 1 + 3 + 1 + 23 + 87 + 549 + 2 = 666.

13123875492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131238754922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123875497) 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, 714933 + ... + 733059.

It is an arithmetic number, because the mean of its divisors is an integer number (201257056).

Almost surely, 213123875492 is an apocalyptic number.

13123875492 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 13123875492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21735762048).

13123875492 is an abundant number, since it is smaller than the sum of its proper divisors (30347648604).

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

13123875492 is a wasteful number, since it uses less digits than its factorization.

13123875492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18187 (or 18169 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 13123875492 in words is "thirteen billion, one hundred twenty-three million, eight hundred seventy-five thousand, four hundred ninety-two".