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2630348767225 = 52277211712
BaseRepresentation
bin100110010001101101000…
…000001111111111111001
3100022110101112021000112001
4212101231000033333321
5321043423241022400
65332210542421001
7361015331423014
oct46215500177771
910273345230461
102630348767225
11924585340393
12365942591761
1316106b8ca9ba
149144960837b
154864c3b7a6a
hex2646d00fff9

2630348767225 has 27 divisors (see below), whose sum is σ = 3276247644621. Its totient is φ = 2094891832800.

The previous prime is 2630348767187. The next prime is 2630348767229. The reversal of 2630348767225 is 5227678430362.

The square root of 2630348767225 is 1621835.

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

It can be written as a sum of positive squares in 4 ways, for example, as 602755035129 + 2027593732096 = 776373^2 + 1423936^2 .

It is not a de Polignac number, because 2630348767225 - 213 = 2630348759033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2630348767229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2246240890 + ... + 2246242060.

Almost surely, 22630348767225 is an apocalyptic number.

2630348767225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2630348767225 is the 1621835-th square number.

2630348767225 is the 810918-th centered octagonal number.

It is an amenable number.

2630348767225 is a deficient number, since it is larger than the sum of its proper divisors (645898877396).

2630348767225 is an frugal number, since it uses more digits than its factorization.

2630348767225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 55.

The spelling of 2630348767225 in words is "two trillion, six hundred thirty billion, three hundred forty-eight million, seven hundred sixty-seven thousand, two hundred twenty-five".

Divisors: 1 5 25 277 1171 1385 5855 6925 29275 76729 324367 383645 1371241 1621835 1918225 6856205 8109175 34281025 89849659 379833757 449248295 1899168785 2246241475 9495843925 105213950689 526069753445 2630348767225