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12149550625 = 5444092
BaseRepresentation
bin10110101000010101…
…10110111000100001
31011100201112010020111
423110022312320201
5144340241110000
65325331011321
7610035322252
oct132412667041
934321463214
1012149550625
115175117233
122430a39b41
1311b8137014
1483382ab29
154b1961cba
hex2d42b6e21

12149550625 has 15 divisors (see below), whose sum is σ = 15185522671. Its totient is φ = 9717436000.

The previous prime is 12149550583. The next prime is 12149550629. The reversal of 12149550625 is 52605594121.

The square root of 12149550625 is 110225.

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

It can be written as a sum of positive squares in 7 ways, for example, as 12149109729 + 440896 = 110223^2 + 664^2 .

It is not a de Polignac number, because 12149550625 - 227 = 12015332897 is a prime.

It is a super-3 number, since 3×121495506253 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12149550629) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2753421 + ... + 2757829.

Almost surely, 212149550625 is an apocalyptic number.

12149550625 is the 110225-th square number.

12149550625 is the 55113-rd centered octagonal number.

It is an amenable number.

12149550625 is a deficient number, since it is larger than the sum of its proper divisors (3035972046).

12149550625 is an frugal number, since it uses more digits than its factorization.

12149550625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8838 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 12149550625 in words is "twelve billion, one hundred forty-nine million, five hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 4409 22045 110225 551125 2755625 19439281 97196405 485982025 2429910125 12149550625