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260268327225 = 365237792
BaseRepresentation
bin1111001001100100110…
…0111000000100111001
3220212210112202221000000
43302121030320010321
513231012142432400
6315322101303213
724542456164554
oct3623114700471
9825715687000
10260268327225
11a041975a4a5
1242537404b09
131b70a53796a
14c85046169b
156b8452b600
hex3c99338139

260268327225 has 63 divisors (see below), whose sum is σ = 484005813343. Its totient is φ = 138773042640.

The previous prime is 260268327197. The next prime is 260268327289. The reversal of 260268327225 is 522723862062.

It is a happy number.

The square root of 260268327225 is 510165.

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

260268327225 is a `hidden beast` number, since 2 + 60 + 268 + 327 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93696597801 + 166571729424 = 306099^2 + 408132^2 .

It is not a de Polignac number, because 260268327225 - 231 = 258120843577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 68870386 + ... + 68874164.

Almost surely, 2260268327225 is an apocalyptic number.

260268327225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

260268327225 is the 510165-th square number.

260268327225 is the 255083-rd centered octagonal number.

It is an amenable number.

260268327225 is a deficient number, since it is larger than the sum of its proper divisors (223737486118).

260268327225 is an frugal number, since it uses more digits than its factorization.

260268327225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7586 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 260268327225 in words is "two hundred sixty billion, two hundred sixty-eight million, three hundred twenty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1215 2025 3645 3779 6075 11337 18225 18895 34011 56685 94475 102033 170055 283425 306099 510165 850275 918297 1530495 2550825 2754891 4591485 7652475 13774455 14280841 22957425 42842523 68872275 71404205 128527569 214212615 357021025 385582707 642637845 1071063075 1156748121 1927913535 3213189225 3470244363 5783740605 9639567675 10410733089 17351221815 28918703025 52053665445 86756109075 260268327225