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18940576512 = 28311131929313
BaseRepresentation
bin10001101000111100…
…100100001100000000
31210220000000222102210
4101220330210030000
5302242241422022
612411242142120
71240236146454
oct215074441400
953800028383
1018940576512
11803a509520
1238071b1940
131a2b063030
14cb970a664
1575cc4ca0c
hex468f24300

18940576512 has 576 divisors, whose sum is σ = 64695052800. Its totient is φ = 4830658560.

The previous prime is 18940576453. The next prime is 18940576517. The reversal of 18940576512 is 21567504981.

It is a happy number.

It is a super-2 number, since 2×189405765122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (18940576517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60512868 + ... + 60513180.

It is an arithmetic number, because the mean of its divisors is an integer number (112317800).

Almost surely, 218940576512 is an apocalyptic number.

18940576512 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 18940576512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32347526400).

18940576512 is an abundant number, since it is smaller than the sum of its proper divisors (45754476288).

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

18940576512 is a wasteful number, since it uses less digits than its factorization.

18940576512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 18940576512 in words is "eighteen billion, nine hundred forty million, five hundred seventy-six thousand, five hundred twelve".