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18523055040 = 263576173619
BaseRepresentation
bin10001010000000011…
…110110001111000000
31202210220101200122120
4101100003312033000
5300413400230130
612302005204240
71224006240630
oct212003661700
952726350576
1018523055040
117945866456
12370b400680
1319926c84c9
14c7a0a46c0
15736277910
hex4500f63c0

18523055040 has 448 divisors, whose sum is σ = 69361751040. Its totient is φ = 4100751360.

The previous prime is 18523055039. The next prime is 18523055069. The reversal of 18523055040 is 4055032581.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 18523054992 and 18523055010.

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 63 ways as a sum of consecutive naturals, for example, 29923851 + ... + 29924469.

Almost surely, 218523055040 is an apocalyptic number.

18523055040 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 18523055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34680875520).

18523055040 is an abundant number, since it is smaller than the sum of its proper divisors (50838696000).

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

18523055040 is a wasteful number, since it uses less digits than its factorization.

18523055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 18523055040 in words is "eighteen billion, five hundred twenty-three million, fifty-five thousand, forty".