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18938831040 = 2632561671609
BaseRepresentation
bin10001101000110101…
…111010000011000000
31210212212202022002200
4101220311322003000
5302241320043130
612411140513200
71240215256563
oct215065720300
953785668080
1018938831040
118039527088
1238066ab800
131a2a8a16cc
14cb93b44da
1575ca05760
hex468d7a0c0

18938831040 has 336 divisors, whose sum is σ = 67239550560. Its totient is φ = 4890378240.

The previous prime is 18938831017. The next prime is 18938831071. The reversal of 18938831040 is 4013883981.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11769756 + ... + 11771364.

It is an arithmetic number, because the mean of its divisors is an integer number (200117710).

Almost surely, 218938831040 is an apocalyptic number.

18938831040 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 18938831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33619775280).

18938831040 is an abundant number, since it is smaller than the sum of its proper divisors (48300719520).

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

18938831040 is a wasteful number, since it uses less digits than its factorization.

18938831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 18938831040 in words is "eighteen billion, nine hundred thirty-eight million, eight hundred thirty-one thousand, forty".