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18980124768 = 25341123103281
BaseRepresentation
bin10001101011010011…
…011011100001100000
31210222202110020110000
4101223103123201200
5302332402443033
612415213540000
71241226253503
oct215323334140
953882406400
1018980124768
11805a870730
1238184a4600
131a362cc077
14cc0a8313a
15761460a13
hex46b4db860

18980124768 has 480 divisors, whose sum is σ = 64387395072. Its totient is φ = 5428684800.

The previous prime is 18980124763. The next prime is 18980124799. The reversal of 18980124768 is 86742108981.

18980124768 is a `hidden beast` number, since 1 + 89 + 80 + 12 + 476 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18980124763) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67544788 + ... + 67545068.

Almost surely, 218980124768 is an apocalyptic number.

18980124768 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 18980124768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32193697536).

18980124768 is an abundant number, since it is smaller than the sum of its proper divisors (45407270304).

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

18980124768 is a wasteful number, since it uses less digits than its factorization.

18980124768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 18980124768 in words is "eighteen billion, nine hundred eighty million, one hundred twenty-four thousand, seven hundred sixty-eight".