Search a number
-
+
18079488000 = 211325371959
BaseRepresentation
bin10000110101100111…
…110001100000000000
31201122222202011001200
4100311213301200000
5244011322104000
612150002101200
71210012053360
oct206547614000
951588664050
1018079488000
117738443a22
12360694a800
1319218418c2
14c371dc9a0
1570c35a500
hex4359f1800

18079488000 has 1152 divisors, whose sum is σ = 79724736000. Its totient is φ = 3848601600.

The previous prime is 18079487963. The next prime is 18079488013. The reversal of 18079488000 is 88497081.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 306431971 + ... + 306432029.

It is an arithmetic number, because the mean of its divisors is an integer number (69205500).

Almost surely, 218079488000 is an apocalyptic number.

18079488000 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 18079488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39862368000).

18079488000 is an abundant number, since it is smaller than the sum of its proper divisors (61645248000).

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

18079488000 is a wasteful number, since it uses less digits than its factorization.

18079488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 18079488000 in words is "eighteen billion, seventy-nine million, four hundred eighty-eight thousand".