Search a number
-
+
18388734000 = 2435371333679
BaseRepresentation
bin10001001000000011…
…011101000000110000
31202110112122110211020
4101020003131000300
5300130003442000
612240410215440
71220455442250
oct211003350060
952415573736
1018388734000
117886a6302a
123692424580
131970928cc0
14c662db960
15729593ba0
hex4480dd030

18388734000 has 320 divisors, whose sum is σ = 72968663040. Its totient is φ = 3879705600.

The previous prime is 18388733981. The next prime is 18388734061. The reversal of 18388734000 is 43788381.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 529161 + ... + 562839.

It is an arithmetic number, because the mean of its divisors is an integer number (228027072).

Almost surely, 218388734000 is an apocalyptic number.

18388734000 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 18388734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36484331520).

18388734000 is an abundant number, since it is smaller than the sum of its proper divisors (54579929040).

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

18388734000 is a wasteful number, since it uses less digits than its factorization.

18388734000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33725 (or 33709 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 18388734000 in words is "eighteen billion, three hundred eighty-eight million, seven hundred thirty-four thousand".