Search a number
-
+
16477573225 = 52256732
BaseRepresentation
bin11110101100010001…
…11101000001101001
31120112100110110002211
433112020331001221
5232221224320400
611323015325121
71122221030041
oct172610750151
946470413084
1016477573225
116a96184713
12323a3807a1
1317279b8439
14b2456a721
156668cddba
hex3d623d069

16477573225 has 9 divisors (see below), whose sum is σ = 20432986693. Its totient is φ = 13181545120.

The previous prime is 16477573183. The next prime is 16477573237. The reversal of 16477573225 is 52237577461.

The square root of 16477573225 is 128365.

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

16477573225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 941446489 + 15536126736 = 30683^2 + 124644^2 .

It is not a de Polignac number, because 16477573225 - 27 = 16477573097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 628989 + ... + 654661.

Almost surely, 216477573225 is an apocalyptic number.

16477573225 is the 128365-th square number.

16477573225 is the 64183-rd centered octagonal number.

It is an amenable number.

16477573225 is a deficient number, since it is larger than the sum of its proper divisors (3955413468).

16477573225 is an frugal number, since it uses more digits than its factorization.

16477573225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51356 (or 25678 counting only the distinct ones).

The product of its digits is 2469600, while the sum is 49.

Multiplying 16477573225 by its sum of digits (49), we get a square (807401088025 = 8985552).

The spelling of 16477573225 in words is "sixteen billion, four hundred seventy-seven million, five hundred seventy-three thousand, two hundred twenty-five".

Divisors: 1 5 25 25673 128365 641825 659102929 3295514645 16477573225