Search a number
-
+
18274299120 = 243257411312
BaseRepresentation
bin10001000001001110…
…111010110011110000
31202011120022120200100
4101001032322303300
5244411210032440
612221201352400
71214565660000
oct210116726360
952146276610
1018274299120
117828402450
123660038700
13195300015c
14c55030000
1571e4dc230
hex4413bacf0

18274299120 has 900 divisors, whose sum is σ = 80704899288. Its totient is φ = 3674764800.

The previous prime is 18274299119. The next prime is 18274299179. The reversal of 18274299120 is 2199247281.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 589493505 + ... + 589493535.

Almost surely, 218274299120 is an apocalyptic number.

18274299120 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 18274299120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40352449644).

18274299120 is an abundant number, since it is smaller than the sum of its proper divisors (62430600168).

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

18274299120 is a wasteful number, since it uses less digits than its factorization.

18274299120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 18274299120 in words is "eighteen billion, two hundred seventy-four million, two hundred ninety-nine thousand, one hundred twenty".