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18940787712 = 2103372113141
BaseRepresentation
bin10001101000111101…
…010111110000000000
31210220000102201011000
4101220331113300000
5302242320201322
612411250452000
71240241016300
oct215075276000
953800381130
1018940787712
11803a643170
123807294000
131a2b1081c2
14cb9763600
1575cc903ac
hex468f57c00

18940787712 has 1056 divisors, whose sum is σ = 75271956480. Its totient is φ = 4644864000.

The previous prime is 18940787689. The next prime is 18940787713. The reversal of 18940787712 is 21778704981.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18940787713) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 461970412 + ... + 461970452.

Almost surely, 218940787712 is an apocalyptic number.

18940787712 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 18940787712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37635978240).

18940787712 is an abundant number, since it is smaller than the sum of its proper divisors (56331168768).

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

18940787712 is a wasteful number, since it uses less digits than its factorization.

18940787712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 18940787712 in words is "eighteen billion, nine hundred forty million, seven hundred eighty-seven thousand, seven hundred twelve".