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741639604225 = 52132132492
BaseRepresentation
bin10101100101011010010…
…10100100100000000001
32121220022010202110101211
422302231022210200001
544122334214313400
61324412102330121
7104403343423402
oct12625512444001
92556263673354
10741639604225
11266589249653
12bb899729941
1354c23110900
1427c775559a9
15144599b2dba
hexacad2a4801

741639604225 has 27 divisors (see below), whose sum is σ = 995890900923. Its totient is φ = 547630986240.

The previous prime is 741639604193. The next prime is 741639604243. The reversal of 741639604225 is 522406936147.

The square root of 741639604225 is 861185.

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 741636159489 + 3444736 = 861183^2 + 1856^2 .

It is not a de Polignac number, because 741639604225 - 25 = 741639604193 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, 55970401 + ... + 55983649.

Almost surely, 2741639604225 is an apocalyptic number.

741639604225 is the 861185-th square number.

741639604225 is the 430593-rd centered octagonal number.

It is an amenable number.

741639604225 is a deficient number, since it is larger than the sum of its proper divisors (254251296698).

741639604225 is an frugal number, since it uses more digits than its factorization.

741639604225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26534 (or 13267 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 741639604225 by its sum of digits (49), we get a square (36340340607025 = 60282952).

The spelling of 741639604225 in words is "seven hundred forty-one billion, six hundred thirty-nine million, six hundred four thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 13249 66245 172237 331225 861185 2239081 4305925 11195405 55977025 175536001 877680005 2281968013 4388400025 11409840065 29665584169 57049200325 148327920845 741639604225