Search a number
-
+
59192457025 = 521321921972
BaseRepresentation
bin110111001000001001…
…010011011101000001
312122210020001101001011
4313020021103131001
51432211232111100
643105335440521
74163562404002
oct671011233501
9178706041034
1059192457025
1123115665079
12b57b526141
135774365c00
142c175231a9
1518168dabba
hexdc8253741

59192457025 has 81 divisors (see below), whose sum is σ = 84310236891. Its totient is φ = 41200548480.

The previous prime is 59192457019. The next prime is 59192457041. The reversal of 59192457025 is 52075429195.

The square root of 59192457025 is 243295.

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

It can be written as a sum of positive squares in 13 ways, for example, as 23121331249 + 36071125776 = 152057^2 + 189924^2 .

It is not a de Polignac number, because 59192457025 - 29 = 59192456513 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 59192457025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 300469227 + ... + 300469423.

Almost surely, 259192457025 is an apocalyptic number.

59192457025 is the 243295-th square number.

59192457025 is the 121648-th centered octagonal number.

It is an amenable number.

59192457025 is a deficient number, since it is larger than the sum of its proper divisors (25117779866).

59192457025 is a wasteful number, since it uses less digits than its factorization.

59192457025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 49.

Multiplying 59192457025 by its sum of digits (49), we get a square (2900430394225 = 17030652).

The spelling of 59192457025 in words is "fifty-nine billion, one hundred ninety-two million, four hundred fifty-seven thousand, twenty-five".

Divisors: 1 5 13 19 25 65 95 169 197 247 325 361 475 845 985 1235 1805 2561 3211 3743 4225 4693 4925 6175 9025 12805 16055 18715 23465 33293 38809 48659 61009 64025 71117 80275 93575 117325 166465 194045 243295 305045 355585 504517 632567 737371 832325 924521 970225 1216475 1525225 1777925 2522585 3162835 3686855 4622605 6558721 9585823 12018773 12612925 14010049 15814175 18434275 23113025 32793605 47929115 60093865 70050245 124615699 163968025 182130637 239645575 300469325 350251225 623078495 910653185 2367698281 3115392475 4553265925 11838491405 59192457025