Search a number
-
+
18000900360 = 23325472933631
BaseRepresentation
bin10000110000111011…
…111111000100001000
31201110111212111002100
4100300323333010020
5243331212302420
612134113433400
71205036062032
oct206073770410
951414774070
1018000900360
1176a8047963
1235a456b860
13190b487341
14c2a9c2c52
157054d5190
hex430eff108

18000900360 has 192 divisors, whose sum is σ = 59968097280. Its totient is φ = 4680783360.

The previous prime is 18000900341. The next prime is 18000900361. The reversal of 18000900360 is 6300900081.

It is not an unprimeable number, because it can be changed into a prime (18000900361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4955745 + ... + 4959375.

It is an arithmetic number, because the mean of its divisors is an integer number (312333840).

Almost surely, 218000900360 is an apocalyptic number.

18000900360 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 18000900360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29984048640).

18000900360 is an abundant number, since it is smaller than the sum of its proper divisors (41967196920).

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

18000900360 is a wasteful number, since it uses less digits than its factorization.

18000900360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3988 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 18000900360 in words is "eighteen billion, nine hundred thousand, three hundred sixty".