Search a number
-
+
45606453095025 = 32524502172
BaseRepresentation
bin10100101111010100101000…
…11011111010101001110001
312222110221020010112101102100
422113222110123322221301
521434204003443020100
6240555152035211013
712414646265052054
oct1227522433725161
9188427203471370
1045606453095025
11135936518a5a09
125146a04a46a69
131c5a8931c6644
14b3951517aa9b
155414dda94400
hex297a946faa71

45606453095025 has 27 divisors (see below), whose sum is σ = 81686406314721. Its totient is φ = 24323387624640.

The previous prime is 45606453095011. The next prime is 45606453095029. The reversal of 45606453095025 is 52059035460654.

The square root of 45606453095025 is 6753255.

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

45606453095025 is a `hidden beast` number, since 4 + 5 + 60 + 6 + 45 + 30 + 9 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2173239104481 + 43433213990544 = 1474191^2 + 6590388^2 .

It is not a de Polignac number, because 45606453095025 - 215 = 45606453062257 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45606453095029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 101073717 + ... + 101523933.

Almost surely, 245606453095025 is an apocalyptic number.

45606453095025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45606453095025 is the 6753255-th square number.

45606453095025 is the 3376628-th centered octagonal number.

It is an amenable number.

45606453095025 is a deficient number, since it is larger than the sum of its proper divisors (36079953219696).

45606453095025 is an frugal number, since it uses more digits than its factorization.

45606453095025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900450 (or 450225 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 45606453095025 in words is "forty-five trillion, six hundred six billion, four hundred fifty-three million, ninety-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 450217 1350651 2251085 4051953 6753255 11255425 20259765 33766275 101298825 202695347089 608086041267 1013476735445 1824258123801 3040430206335 5067383677225 9121290619005 15202151031675 45606453095025