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249422412032 = 281019646597
BaseRepresentation
bin1110100001001010111…
…0111111100100000000
3212211210200021100101022
43220102232333210000
513041304114141112
6310325535525012
724006630343553
oct3502256774400
9784720240338
10249422412032
11968634a3922
124040b089768
131a69c50c571
14c101c2069a
15674c276d72
hex3a12bbf900

249422412032 has 36 divisors (see below), whose sum is σ = 502799980956. Its totient is φ = 123476428800.

The previous prime is 249422412023. The next prime is 249422412037. The reversal of 249422412032 is 230214224942.

249422412032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 238284564736 + 11137847296 = 488144^2 + 105536^2 .

It is a junction number, because it is equal to n+sod(n) for n = 249422411983 and 249422412001.

It is not an unprimeable number, because it can be changed into a prime (249422412037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4797443 + ... + 4849154.

Almost surely, 2249422412032 is an apocalyptic number.

It is an amenable number.

249422412032 is an abundant number, since it is smaller than the sum of its proper divisors (253377568924).

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

249422412032 is an equidigital number, since it uses as much as digits as its factorization.

249422412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9646714 (or 9646700 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 249422412032 its reverse (230214224942), we get a palindrome (479636636974).

The spelling of 249422412032 in words is "two hundred forty-nine billion, four hundred twenty-two million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 808 1616 3232 6464 12928 25856 9646597 19293194 38586388 77172776 154345552 308691104 617382208 974306297 1234764416 1948612594 2469528832 3897225188 7794450376 15588900752 31177801504 62355603008 124711206016 249422412032