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18056909376 = 26321125092
BaseRepresentation
bin10000110100010001…
…101001001001000000
31201121102021001000100
4100310101221021000
5243440032100001
612143434122400
71206316124442
oct206421511100
951542231010
1018056909376
117726722300
1235bb280400
131919c6787c
14c34202492
1570a39a586
hex434469240

18056909376 has 189 divisors, whose sum is σ = 57001770553. Its totient is φ = 5461040640.

The previous prime is 18056909287. The next prime is 18056909389. The reversal of 18056909376 is 67390965081.

The square root of 18056909376 is 134376.

It is a perfect power (a square), and thus also a powerful number.

18056909376 is a `hidden beast` number, since 1 + 8 + 0 + 569 + 0 + 9 + 3 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14683622976 + 3373286400 = 121176^2 + 58080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35475010 + ... + 35475518.

Almost surely, 218056909376 is an apocalyptic number.

18056909376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18056909376 is the 134376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18056909376

18056909376 is an abundant number, since it is smaller than the sum of its proper divisors (38944861177).

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

18056909376 is an equidigital number, since it uses as much as digits as its factorization.

18056909376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 18056909376 in words is "eighteen billion, fifty-six million, nine hundred nine thousand, three hundred seventy-six".