Search a number
-
+
18797819040 = 2536572111323
BaseRepresentation
bin10001100000011011…
…111111010010100000
31210112001102011000000
4101200123333102200
5301444220202130
612345142300000
71233553553100
oct214033772240
953461364000
1018797819040
117a76973740
123787427600
131a075cb860
14ca4789200
1575044e260
hex4606ff4a0

18797819040 has 2016 divisors, whose sum is σ = 94952704896. Its totient is φ = 3448811520.

The previous prime is 18797819039. The next prime is 18797819099. The reversal of 18797819040 is 4091879781.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 817296469 + ... + 817296491.

It is an arithmetic number, because the mean of its divisors is an integer number (47099556).

Almost surely, 218797819040 is an apocalyptic number.

18797819040 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 18797819040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47476352448).

18797819040 is an abundant number, since it is smaller than the sum of its proper divisors (76154885856).

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

18797819040 is a wasteful number, since it uses less digits than its factorization.

18797819040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 18797819040 in words is "eighteen billion, seven hundred ninety-seven million, eight hundred nineteen thousand, forty".