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2741557735225 = 523311532
BaseRepresentation
bin100111111001010001100…
…100110010111100111001
3100201002102212112221012201
4213321101210302330321
5324404202240011400
65455242040510201
7402033233152351
oct47712144627471
910632385487181
102741557735225
11967762962001
123833ba17b361
1316b6b270bc8a
14969991b3b61
154b4aa6bd06a
hex27e51932f39

2741557735225 has 9 divisors (see below), whose sum is σ = 3399541857453. Its totient is φ = 2193239565120.

The previous prime is 2741557735193. The next prime is 2741557735261. The reversal of 2741557735225 is 5225377551472.

The square root of 2741557735225 is 1655765.

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 464247361449 + 2277310373776 = 681357^2 + 1509076^2 .

It is not a de Polignac number, because 2741557735225 - 25 = 2741557735193 is a prime.

It is a super-2 number, since 2×27415577352252 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 8113249 + ... + 8444401.

Almost surely, 22741557735225 is an apocalyptic number.

2741557735225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2741557735225 is the 1655765-th square number.

2741557735225 is the 827883-rd centered octagonal number.

It is an amenable number.

2741557735225 is a deficient number, since it is larger than the sum of its proper divisors (657984122228).

2741557735225 is an frugal number, since it uses more digits than its factorization.

2741557735225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662316 (or 331158 counting only the distinct ones).

The product of its digits is 20580000, while the sum is 55.

The spelling of 2741557735225 in words is "two trillion, seven hundred forty-one billion, five hundred fifty-seven million, seven hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 331153 1655765 8278825 109662309409 548311547045 2741557735225