Search a number
-
+
18703706112 = 21135721359
BaseRepresentation
bin10001011010110100…
…111110100000000000
31210021111022201100000
4101122310332200000
5301301122043422
612331541200000
71231331610300
oct213264764000
953244281300
1018703706112
117a28833263
12375ba00000
1319c0c69830
14c9608b600
1574705dcac
hex45ad3e800

18703706112 has 864 divisors, whose sum is σ = 71368970400. Its totient is φ = 4849238016.

The previous prime is 18703706101. The next prime is 18703706117. The reversal of 18703706112 is 21160730781.

18703706112 is a `hidden beast` number, since 1 + 8 + 7 + 0 + 37 + 0 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18703706117) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 317011939 + ... + 317011997.

It is an arithmetic number, because the mean of its divisors is an integer number (82602975).

Almost surely, 218703706112 is an apocalyptic number.

18703706112 is a gapful number since it is divisible by the number (12) 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 18703706112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35684485200).

18703706112 is an abundant number, since it is smaller than the sum of its proper divisors (52665264288).

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

18703706112 is an equidigital number, since it uses as much as digits as its factorization.

18703706112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 18703706112 in words is "eighteen billion, seven hundred three million, seven hundred six thousand, one hundred twelve".