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18626348052 = 223213192412689
BaseRepresentation
bin10001010110001101…
…111000010000010100
31210002002202112000200
4101112031320100110
5301121321114202
612320135140500
71226402226504
oct212615702024
953062675020
1018626348052
1179990a6a84
123739b14730
1319aac22b30
14c89ab1a04
1574037ce1c
hex456378414

18626348052 has 216 divisors, whose sum is σ = 54839814120. Its totient is φ = 5295144960.

The previous prime is 18626348051. The next prime is 18626348099. The reversal of 18626348052 is 25084362681.

18626348052 is a `hidden beast` number, since 1 + 8 + 6 + 2 + 634 + 8 + 0 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2585112336 + 16041235716 = 50844^2 + 126654^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18626347989 and 18626348007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18626348051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6925524 + ... + 6928212.

Almost surely, 218626348052 is an apocalyptic number.

18626348052 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 18626348052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27419907060).

18626348052 is an abundant number, since it is smaller than the sum of its proper divisors (36213466068).

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

18626348052 is a wasteful number, since it uses less digits than its factorization.

18626348052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 18626348052 in words is "eighteen billion, six hundred twenty-six million, three hundred forty-eight thousand, fifty-two".