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18289795920 = 24351161137829
BaseRepresentation
bin10001000010001010…
…000010001101010000
31202012122110220021220
4101002022002031100
5244424141432140
612222513445040
71215144462114
oct210212021520
952178426256
1018289795920
117836127420
123665270780
131956297966
14c57105744
15720a4dbd0
hex442282350

18289795920 has 320 divisors, whose sum is σ = 63402013440. Its totient is φ = 4324147200.

The previous prime is 18289795873. The next prime is 18289795957. The reversal of 18289795920 is 2959798281.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 22062066 + ... + 22062894.

It is an arithmetic number, because the mean of its divisors is an integer number (198131292).

Almost surely, 218289795920 is an apocalyptic number.

18289795920 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 18289795920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31701006720).

18289795920 is an abundant number, since it is smaller than the sum of its proper divisors (45112217520).

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

18289795920 is a wasteful number, since it uses less digits than its factorization.

18289795920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 60.

The spelling of 18289795920 in words is "eighteen billion, two hundred eighty-nine million, seven hundred ninety-five thousand, nine hundred twenty".