Search a number
-
+
30364805025 = 3252116172
BaseRepresentation
bin11100010001111000…
…100010011110100001
32220101011201220210100
4130101320202132201
5444141342230100
621541023053013
72123316404232
oct342170423641
986334656710
1030364805025
1111972160495
125a75141169
132b2bb32c69
141680a8b089
15bcab89400
hex711e227a1

30364805025 has 27 divisors (see below), whose sum is σ = 54391421721. Its totient is φ = 16193168640.

The previous prime is 30364804991. The next prime is 30364805039. The reversal of 30364805025 is 52050846303.

It is a happy number.

The square root of 30364805025 is 174255.

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

30364805025 is a `hidden beast` number, since 3 + 0 + 3 + 648 + 0 + 5 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2658536721 + 27706268304 = 51561^2 + 166452^2 .

It is not a de Polignac number, because 30364805025 - 221 = 30362707873 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2608017 + ... + 2619633.

Almost surely, 230364805025 is an apocalyptic number.

30364805025 is the 174255-th square number.

30364805025 is the 87128-th centered octagonal number.

It is an amenable number.

30364805025 is a deficient number, since it is larger than the sum of its proper divisors (24026616696).

30364805025 is an frugal number, since it uses more digits than its factorization.

30364805025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23250 (or 11625 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 30364805025 by its sum of digits (36), we get a square (1093132980900 = 10455302).

The spelling of 30364805025 in words is "thirty billion, three hundred sixty-four million, eight hundred five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 11617 34851 58085 104553 174255 290425 522765 871275 2613825 134954689 404864067 674773445 1214592201 2024320335 3373867225 6072961005 10121601675 30364805025