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18080375040 = 283357135749
BaseRepresentation
bin10000110101101011…
…001010000100000000
31201200001102012212000
4100311223022010000
5244012034000130
612150033104000
71210022436450
oct206553120400
951601365760
1018080375040
11773899a412
1236070b8000
131921a92590
14c3738dd60
1570c483260
hex435aca100

18080375040 has 576 divisors, whose sum is σ = 78980160000. Its totient is φ = 3814096896.

The previous prime is 18080374997. The next prime is 18080375059. The reversal of 18080375040 is 4057308081.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18080374986 and 18080375004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3142086 + ... + 3147834.

Almost surely, 218080375040 is an apocalyptic number.

18080375040 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 18080375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39490080000).

18080375040 is an abundant number, since it is smaller than the sum of its proper divisors (60899784960).

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

18080375040 is a wasteful number, since it uses less digits than its factorization.

18080375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5799 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 18080375040 in words is "eighteen billion, eighty million, three hundred seventy-five thousand, forty".