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18632490048 = 263353389523
BaseRepresentation
bin10001010110100101…
…010011110001000000
31210002112022120021000
4101112211103301000
5301124404140143
612320514532000
71226505360264
oct212645236100
953075276230
1018632490048
1179a1611607
12373bb97000
1319ac293653
14c8a8300a4
15740b92bd3
hex456953c40

18632490048 has 224 divisors, whose sum is σ = 56060035200. Its totient is φ = 6066358272.

The previous prime is 18632489987. The next prime is 18632490061. The reversal of 18632490048 is 84009423681.

It is a happy number.

18632490048 is a `hidden beast` number, since 1 + 8 + 632 + 4 + 9 + 0 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18632489985 and 18632490012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35625915 + ... + 35626437.

Almost surely, 218632490048 is an apocalyptic number.

18632490048 is a gapful number since it is divisible by the number (18) 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 18632490048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28030017600).

18632490048 is an abundant number, since it is smaller than the sum of its proper divisors (37427545152).

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

18632490048 is a wasteful number, since it uses less digits than its factorization.

18632490048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 18632490048 in words is "eighteen billion, six hundred thirty-two million, four hundred ninety thousand, forty-eight".