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18090473040 = 2433519538317
BaseRepresentation
bin10000110110010001…
…101011011001010000
31201200202102020201000
4100312101223121100
5244022130114130
612151033342000
71210204324623
oct206621533120
951622366630
1018090473040
117743667172
12360a567900
131923bb9923
14c3885bdba
1570d2ca260
hex43646b650

18090473040 has 320 divisors, whose sum is σ = 66836793600. Its totient is φ = 4483454976.

The previous prime is 18090472997. The next prime is 18090473069. The reversal of 18090473040 is 4037409081.

It is a happy number.

18090473040 is a `hidden beast` number, since 180 + 9 + 0 + 473 + 0 + 4 + 0 = 666.

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 = 18090472986 and 18090473004.

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, 2170962 + ... + 2179278.

It is an arithmetic number, because the mean of its divisors is an integer number (208864980).

Almost surely, 218090473040 is an apocalyptic number.

18090473040 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 18090473040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33418396800).

18090473040 is an abundant number, since it is smaller than the sum of its proper divisors (48746320560).

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

18090473040 is a wasteful number, since it uses less digits than its factorization.

18090473040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8411 (or 8399 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 18090473040 in words is "eighteen billion, ninety million, four hundred seventy-three thousand, forty".