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2756712312225 = 325271215592
BaseRepresentation
bin101000000111011000110…
…110111010110110100001
3100202112120000120012200100
4220013120312322312201
5330131221322442400
65510225520013013
7403110621013524
oct50073066726641
910675500505610
102756712312225
1197312a262003
12386329461169
1316cc5929a2c1
14975d5b54bbb
154ba95d68100
hex281d8dbada1

2756712312225 has 81 divisors (see below), whose sum is σ = 5011315330099. Its totient is φ = 1448609080800.

The previous prime is 2756712312199. The next prime is 2756712312271. The reversal of 2756712312225 is 5222132176572.

The square root of 2756712312225 is 1660335.

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

2756712312225 is a `hidden beast` number, since 2 + 7 + 567 + 12 + 31 + 22 + 25 = 666.

2756712312225 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 only one way, i.e., 992416432401 + 1764295879824 = 996201^2 + 1328268^2 .

It is not a de Polignac number, because 2756712312225 - 213 = 2756712304033 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 80 ways as a sum of consecutive naturals, for example, 1768255996 + ... + 1768257554.

Almost surely, 22756712312225 is an apocalyptic number.

2756712312225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2756712312225 is the 1660335-th square number.

2756712312225 is the 830168-th centered octagonal number.

It is an amenable number.

2756712312225 is a deficient number, since it is larger than the sum of its proper divisors (2254603017874).

2756712312225 is an frugal number, since it uses more digits than its factorization.

2756712312225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 1638 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

Adding to 2756712312225 its reverse (5222132176572), we get a palindrome (7978844488797).

The spelling of 2756712312225 in words is "two trillion, seven hundred fifty-six billion, seven hundred twelve million, three hundred twelve thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 71 75 213 225 355 639 1065 1559 1775 3195 4677 5041 5325 7795 14031 15123 15975 23385 25205 38975 45369 70155 75615 110689 116925 126025 226845 332067 350775 378075 553445 996201 1134225 1660335 2430481 2767225 4981005 7291443 7858919 8301675 12152405 21874329 23576757 24905025 36457215 39294595 60762025 70730271 109371645 117883785 172564151 182286075 196472975 353651355 517692453 546858225 589418925 862820755 1553077359 1768256775 2588462265 4314103775 7765386795 12252054721 12942311325 36756164163 38826933975 61260273605 110268492489 183780820815 306301368025 551342462445 918904104075 2756712312225