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12048355225 = 522927572
BaseRepresentation
bin10110011100010001…
…10100111110011001
31011002200002212020201
423032020310332121
5144133334331400
65311314022201
7604366221034
oct131610647631
934080085221
1012048355225
115122a89675
122402b77961
1311a019539a
1482420801b
154a7b2306a
hex2ce234f99

12048355225 has 27 divisors (see below), whose sum is σ = 15493362807. Its totient is φ = 9294022080.

The previous prime is 12048355219. The next prime is 12048355271. The reversal of 12048355225 is 52255384021.

The square root of 12048355225 is 109765.

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

It can be written as a sum of positive squares in 13 ways, for example, as 6007335049 + 6041020176 = 77507^2 + 77724^2 .

It is not a de Polignac number, because 12048355225 - 29 = 12048354713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15915547 + ... + 15916303.

Almost surely, 212048355225 is an apocalyptic number.

12048355225 is the 109765-th square number.

12048355225 is the 54883-rd centered octagonal number.

It is an amenable number.

12048355225 is a deficient number, since it is larger than the sum of its proper divisors (3445007582).

12048355225 is an frugal number, since it uses more digits than its factorization.

12048355225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The spelling of 12048355225 in words is "twelve billion, forty-eight million, three hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 725 757 841 3785 4205 18925 21025 21953 109765 548825 573049 636637 2865245 3183185 14326225 15915925 16618421 83092105 415460525 481934209 2409671045 12048355225