Search a number
-
+
65241930625 = 541726012
BaseRepresentation
bin111100110000101110…
…001101101110000001
320020101211012110201221
4330300232031232001
52032103413240000
645545520555041
74466520155164
oct746056155601
9206354173657
1065241930625
112573a407133
1210789482a81
1361c97645a1
14322cb2dadb
151a6ca4761a
hexf30b8db81

65241930625 has 45 divisors (see below), whose sum is σ = 86748419901. Its totient is φ = 49041600000.

The previous prime is 65241930623. The next prime is 65241930673. The reversal of 65241930625 is 52603914256.

The square root of 65241930625 is 255425.

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

65241930625 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 22 ways, for example, as 55982872449 + 9259058176 = 236607^2 + 96224^2 .

It is not a de Polignac number, because 65241930625 - 21 = 65241930623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65241930623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 108555325 + ... + 108555925.

Almost surely, 265241930625 is an apocalyptic number.

65241930625 is the 255425-th square number.

65241930625 is the 127713-rd centered octagonal number.

It is an amenable number.

65241930625 is a deficient number, since it is larger than the sum of its proper divisors (21506489276).

65241930625 is an frugal number, since it uses more digits than its factorization.

65241930625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 65241930625 in words is "sixty-five billion, two hundred forty-one million, nine hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 17 25 85 125 289 425 601 625 1445 2125 3005 7225 10217 10625 15025 36125 51085 75125 173689 180625 255425 361201 375625 868445 1277125 1806005 4342225 6140417 6385625 9030025 21711125 30702085 45150125 104387089 108555625 153510425 225750625 521935445 767552125 2609677225 3837760625 13048386125 65241930625