Search a number
-
+
18850104000 = 2633537213137
BaseRepresentation
bin10001100011100011…
…011100001011000000
31210122200210111111000
4101203203130023000
5302101111312000
612354251052000
71235060145300
oct214343341300
953580714430
1018850104000
117aa3435152
1237a0a41000
131a153a6cc0
14cab6b9600
15754d2b000
hex4638dc2c0

18850104000 has 1344 divisors, whose sum is σ = 87271067520. Its totient is φ = 3948134400.

The previous prime is 18850103989. The next prime is 18850104083. The reversal of 18850104000 is 40105881.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137591932 + ... + 137592068.

It is an arithmetic number, because the mean of its divisors is an integer number (64933830).

Almost surely, 218850104000 is an apocalyptic number.

18850104000 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 18850104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43635533760).

18850104000 is an abundant number, since it is smaller than the sum of its proper divisors (68420963520).

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

18850104000 is a wasteful number, since it uses less digits than its factorization.

18850104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 18850104000 its reverse (40105881), we get a palindrome (18890209881).

The spelling of 18850104000 in words is "eighteen billion, eight hundred fifty million, one hundred four thousand".