Search a number
-
+
23575452849 = 321323121272
BaseRepresentation
bin10101111101001101…
…001101110010110001
32020212000101002111100
4111331031031302301
5341240303442344
614455211435013
71463136020454
oct257515156261
966760332440
1023575452849
119aa8801733
12469b455a69
1322b9371a00
1411d90c549b
1592eace569
hex57d34dcb1

23575452849 has 81 divisors (see below), whose sum is σ = 38404675179. Its totient is φ = 13929420960.

The previous prime is 23575452841. The next prime is 23575452851. The reversal of 23575452849 is 94825457532.

The square root of 23575452849 is 153543.

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

23575452849 is a `hidden beast` number, since 2 + 3 + 5 + 75 + 4 + 528 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3487493025 + 20087959824 = 59055^2 + 141732^2 .

It is not a de Polignac number, because 23575452849 - 23 = 23575452841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23575452795 and 23575452804.

It is not an unprimeable number, because it can be changed into a prime (23575452841) 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, 185633424 + ... + 185633550.

Almost surely, 223575452849 is an apocalyptic number.

23575452849 is the 153543-rd square number.

23575452849 is the 76772-nd centered octagonal number.

It is an amenable number.

23575452849 is a deficient number, since it is larger than the sum of its proper divisors (14829222330).

23575452849 is a wasteful number, since it uses less digits than its factorization.

23575452849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 174 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 23575452849 in words is "twenty-three billion, five hundred seventy-five million, four hundred fifty-two thousand, eight hundred forty-nine".

Divisors: 1 3 9 13 31 39 93 117 127 169 279 381 403 507 961 1143 1209 1521 1651 2883 3627 3937 4953 5239 8649 11811 12493 14859 15717 16129 21463 35433 37479 47151 48387 51181 64389 112437 122047 145161 153543 162409 193167 209677 366141 460629 487227 499999 629031 665353 1098423 1461681 1499997 1586611 1887093 1996059 2725801 4499991 4759833 5988177 6499987 8177403 14279499 15499969 19499961 20625943 24532209 46499907 58499883 61877829 84499831 139499721 185633487 201499597 253499493 604498791 760498479 1813496373 2619494761 7858484283 23575452849