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23895760412241 = 323724729372
BaseRepresentation
bin1010110111011101010100…
…10011111001111001010001
310010121102010121222111021100
411123232222103321321101
511113002004131142431
6122453321044015013
75014261135115244
oct533565223717121
9103542117874240
1023895760412241
117683153878573
12281b1a9991469
13104448c143013
145c87bd45b25b
152b68b48074e6
hex15bbaa4f9e51

23895760412241 has 81 divisors (see below), whose sum is σ = 36283730473809. Its totient is φ = 15153976326528.

The previous prime is 23895760412233. The next prime is 23895760412281. The reversal of 23895760412241 is 14221406759832.

It is a happy number.

The square root of 23895760412241 is 4888329.

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

23895760412241 is a `hidden beast` number, since 2 + 3 + 8 + 9 + 5 + 7 + 604 + 1 + 2 + 24 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 232400162241 + 23663360250000 = 482079^2 + 4864500^2 .

It is not a de Polignac number, because 23895760412241 - 23 = 23895760412233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23895760412281) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 25502411925 + ... + 25502412861.

It is a 1-persistent number, because it is pandigital, but 2⋅23895760412241 = 47791520824482 is not.

Almost surely, 223895760412241 is an apocalyptic number.

23895760412241 is the 4888329-th square number.

23895760412241 is the 2444165-th centered octagonal number.

It is an amenable number.

23895760412241 is a deficient number, since it is larger than the sum of its proper divisors (12387970061568).

23895760412241 is an frugal number, since it uses more digits than its factorization.

23895760412241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 23895760412241 in words is "twenty-three trillion, eight hundred ninety-five billion, seven hundred sixty million, four hundred twelve thousand, two hundred forty-one".

Divisors: 1 3 9 37 47 111 141 333 423 937 1369 1739 2209 2811 4107 5217 6627 8433 12321 15651 19881 34669 44039 64343 81733 104007 132117 193029 245199 312021 396351 579087 735597 877969 1282753 1629443 2069833 2633907 3024121 3848259 4888329 6209499 7901721 9072363 11544777 14664987 18628497 27217089 32484853 41264543 60289391 76583821 97454559 123793629 180868173 229751463 292363677 371380887 542604519 689254389 1201939561 1526788091 1939433521 2833601377 3605818683 4580364273 5818300563 8500804131 10817456049 13741092819 17454901689 25502412393 56491159367 71759040277 169473478101 215277120831 508420434303 645831362493 2655084490249 7965253470747 23895760412241