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296938896241 = 13216722512
BaseRepresentation
bin1000101001000101110…
…11111111101101110001
31001101110011220211210211
410110202323333231301
514331112324134431
6344224543024121
730311264654521
oct4244273775561
91041404824724
10296938896241
11104a272a1789
124967029b041
13220028a1c00
141052c791681
157acda9a2b1
hex4522effb71

296938896241 has 27 divisors (see below), whose sum is σ = 324768164043. Its totient is φ = 271370658000.

The previous prime is 296938896227. The next prime is 296938896337. The reversal of 296938896241 is 142698839692.

The square root of 296938896241 is 544921.

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

It can be written as a sum of positive squares in only one way, i.e., 43925872225 + 253013024016 = 209585^2 + 503004^2 .

It is not a de Polignac number, because 296938896241 - 229 = 296402025329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (296938896041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1183023366 + ... + 1183023616.

Almost surely, 2296938896241 is an apocalyptic number.

296938896241 is the 544921-st square number.

296938896241 is the 272461-st centered octagonal number.

It is an amenable number.

296938896241 is a deficient number, since it is larger than the sum of its proper divisors (27829267802).

296938896241 is an frugal number, since it uses more digits than its factorization.

296938896241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 431 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 67.

The spelling of 296938896241 in words is "two hundred ninety-six billion, nine hundred thirty-eight million, eight hundred ninety-six thousand, two hundred forty-one".

Divisors: 1 13 167 169 251 2171 3263 27889 28223 41917 42419 63001 362557 544921 819013 4713241 7000139 7083973 10521167 10647169 91001807 136775171 1183023491 1757034889 1778077223 22841453557 296938896241