Search a number
-
+
1463047489225 = 527449372
BaseRepresentation
bin10101010010100100011…
…011010000011011001001
312011212101021222002112101
4111102210123100123021
5142432310124123400
63040040441113401
7210462452320000
oct25224433203311
95155337862471
101463047489225
11514525191093
121b766b788861
13a7c70834c0a
1450b51b07c37
15280cd1d756a
hex154a46d06c9

1463047489225 has 45 divisors (see below), whose sum is σ = 2116844873717. Its totient is φ = 1003029357120.

The previous prime is 1463047489199. The next prime is 1463047489231. The reversal of 1463047489225 is 5229847403641.

The square root of 1463047489225 is 1209565.

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

It can be written as a sum of positive squares in 4 ways, for example, as 62034370489 + 1401013118736 = 249067^2 + 1183644^2 .

It is not a de Polignac number, because 1463047489225 - 27 = 1463047489097 is a prime.

It is a super-2 number, since 2×14630474892252 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 296340957 + ... + 296345893.

It is a 1-persistent number, because it is pandigital, but 2⋅1463047489225 = 2926094978450 is not.

Almost surely, 21463047489225 is an apocalyptic number.

1463047489225 is the 1209565-th square number.

1463047489225 is the 604783-rd centered octagonal number.

It is an amenable number.

1463047489225 is a deficient number, since it is larger than the sum of its proper divisors (653797384492).

1463047489225 is an frugal number, since it uses more digits than its factorization.

1463047489225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9912 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 1463047489225 in words is "one trillion, four hundred sixty-three billion, forty-seven million, four hundred eighty-nine thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 343 1225 1715 2401 4937 8575 12005 24685 34559 60025 123425 172795 241913 863975 1209565 1693391 6047825 8466955 11853737 24373969 42334775 59268685 121869845 170617783 296343425 609349225 853088915 1194324481 4265444575 5971622405 8360271367 29858112025 41801356835 58521899569 209006784175 292609497845 1463047489225