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23891146052449 = 13217413012
BaseRepresentation
bin1010110111010100101110…
…10001100001001101100001
310010120222020001020201121211
411123222113101201031201
511112413031342134244
6122451235130150121
75014035604524244
oct533522721411541
9103528201221554
1023891146052449
1176811a6118785
12281a320582341
131043c05168900
145c84a26a325b
152b66e4679934
hex15ba97461361

23891146052449 has 45 divisors (see below), whose sum is σ = 27508312240509. Its totient is φ = 20740154822400.

The previous prime is 23891146052447. The next prime is 23891146052467. The reversal of 23891146052449 is 94425064119832.

The square root of 23891146052449 is 4887857.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 17450879630625 + 6440266421824 = 4177425^2 + 2537768^2 .

It is not a de Polignac number, because 23891146052449 - 21 = 23891146052447 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23891146052393 and 23891146052402.

It is not an unprimeable number, because it can be changed into a prime (23891146052447) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18363678099 + ... + 18363679399.

Almost surely, 223891146052449 is an apocalyptic number.

23891146052449 is the 4887857-th square number.

23891146052449 is the 2443929-th centered octagonal number.

It is an amenable number.

23891146052449 is a deficient number, since it is larger than the sum of its proper divisors (3617166188060).

23891146052449 is an frugal number, since it uses more digits than its factorization.

23891146052449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 23891146052449 in words is "twenty-three trillion, eight hundred ninety-one billion, one hundred forty-six million, fifty-two thousand, four hundred forty-nine".

Divisors: 1 13 17 169 221 289 1301 2873 3757 4913 16913 22117 48841 63869 83521 219869 287521 375989 830297 1085773 1692601 3737773 4887857 6391813 14115049 22003813 28774217 63542141 83093569 108660821 286049569 374064821 489161689 1080216397 1412590673 4862842673 6359101957 8315748713 18363678749 82668325441 108104733269 141367728121 1405361532497 1837780465573 23891146052449