Search a number
-
+
16906500625 = 54727432
BaseRepresentation
bin11111011111011010…
…01011101000010001
31121122020120012212211
433233231023220101
5234111031010000
611433340552121
71135646612200
oct175755135021
947566505784
1016906500625
117196308173
123339b52641
131795817731
14b65501237
1568e3a87ba
hex3efb4ba11

16906500625 has 45 divisors (see below), whose sum is σ = 24608685981. Its totient is φ = 11577426000.

The previous prime is 16906500577. The next prime is 16906500641. The reversal of 16906500625 is 52600560961.

The square root of 16906500625 is 130025.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1325469649 + 15581030976 = 36407^2 + 124824^2 .

It is not a de Polignac number, because 16906500625 - 223 = 16898112017 is a prime.

It is a Duffinian number.

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, 22754004 + ... + 22754746.

Almost surely, 216906500625 is an apocalyptic number.

16906500625 is the 130025-th square number.

16906500625 is the 65013-rd centered octagonal number.

It is an amenable number.

16906500625 is a deficient number, since it is larger than the sum of its proper divisors (7702185356).

16906500625 is an frugal number, since it uses more digits than its factorization.

16906500625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 16906500625 in words is "sixteen billion, nine hundred six million, five hundred thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 625 743 875 1225 3715 4375 5201 6125 18575 26005 30625 36407 92875 130025 182035 464375 552049 650125 910175 2760245 3250625 3864343 4550875 13801225 19321715 22754375 27050401 69006125 96608575 135252005 345030625 483042875 676260025 2415214375 3381300125 16906500625