Search a number
-
+
18923520000 = 217354711
BaseRepresentation
bin10001100111111011…
…100000000000000000
31210211210221102022010
4101213323200000000
5302223410120000
612405432412520
71236641160150
oct214773400000
953753842263
1018923520000
118030919730
123801547140
131a27670618
14cb734a760
1575b4cdd50
hex467ee0000

18923520000 has 720 divisors, whose sum is σ = 78617734272. Its totient is φ = 3932160000.

The previous prime is 18923519987. The next prime is 18923520037. The reversal of 18923520000 is 2532981.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 18923520000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1720319995 + ... + 1720320005.

Almost surely, 218923520000 is an apocalyptic number.

18923520000 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 18923520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39308867136).

18923520000 is an abundant number, since it is smaller than the sum of its proper divisors (59694214272).

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

18923520000 is an frugal number, since it uses more digits than its factorization.

18923520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 18923520000 in words is "eighteen billion, nine hundred twenty-three million, five hundred twenty thousand".