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18614490048 = 2632721159957
BaseRepresentation
bin10001010101100000…
…101001001111000000
31210001021110001220100
4101111200221033000
5301110302140143
612315033042400
71226166361200
oct212540511700
953037401810
1018614490048
117992437980
123735b56400
1319a863066b
14c882a6400
1573e2d96d3
hex4558293c0

18614490048 has 252 divisors, whose sum is σ = 67709610072. Its totient is φ = 4834851840.

The previous prime is 18614490007. The next prime is 18614490061. The reversal of 18614490048 is 84009441681.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 18614489985 and 18614490012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 280486 + ... + 340442.

Almost surely, 218614490048 is an apocalyptic number.

18614490048 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 18614490048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33854805036).

18614490048 is an abundant number, since it is smaller than the sum of its proper divisors (49095120024).

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

18614490048 is a wasteful number, since it uses less digits than its factorization.

18614490048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60000 (or 59980 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 18614490048 in words is "eighteen billion, six hundred fourteen million, four hundred ninety thousand, forty-eight".