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18982149120 = 210355111973
BaseRepresentation
bin10001101011011011…
…001001110000000000
31210222220021002100000
4101223123021300000
5302333412232440
612415325200000
71241252414424
oct215333116000
953886232300
1018982149120
118060a23650
123819100000
131a3685a5cc
14cc104cb84
15761710730
hex46b6c9c00

18982149120 has 1056 divisors, whose sum is σ = 79398708480. Its totient is φ = 4299816960.

The previous prime is 18982149103. The next prime is 18982149161. The reversal of 18982149120 is 2194128981.

18982149120 is a `hidden beast` number, since 1 + 89 + 82 + 1 + 491 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260029404 + ... + 260029476.

Almost surely, 218982149120 is an apocalyptic number.

18982149120 is a gapful number since it is divisible by the number (10) 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 18982149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39699354240).

18982149120 is an abundant number, since it is smaller than the sum of its proper divisors (60416559360).

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

18982149120 is a wasteful number, since it uses less digits than its factorization.

18982149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 18982149120 in words is "eighteen billion, nine hundred eighty-two million, one hundred forty-nine thousand, one hundred twenty".