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647228295025 = 52132123772
BaseRepresentation
bin10010110101100011101…
…00000000011101110001
32021212121110020000200021
421122301310000131301
541101010420420100
61213155500323441
764521630510154
oct11326164003561
92255543200607
10647228295025
1122a540554684
12a552b543581
13490583c8c00
142347c837c9b
1511c81216a1a
hex96b1d00771

647228295025 has 27 divisors (see below), whose sum is σ = 869117822211. Its totient is φ = 477914586240.

The previous prime is 647228295013. The next prime is 647228295073. The reversal of 647228295025 is 520592822746.

The square root of 647228295025 is 804505.

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 624721094449 + 22507200576 = 790393^2 + 150024^2 .

It is not a de Polignac number, because 647228295025 - 221 = 647226197873 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, 52286637 + ... + 52299013.

Almost surely, 2647228295025 is an apocalyptic number.

647228295025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

647228295025 is the 804505-th square number.

647228295025 is the 402253-rd centered octagonal number.

It is an amenable number.

647228295025 is a deficient number, since it is larger than the sum of its proper divisors (221889527186).

647228295025 is an frugal number, since it uses more digits than its factorization.

647228295025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24790 (or 12395 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 647228295025 in words is "six hundred forty-seven billion, two hundred twenty-eight million, two hundred ninety-five thousand, twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 12377 61885 160901 309425 804505 2091713 4022525 10458565 52292825 153190129 765950645 1991471677 3829753225 9957358385 25889131801 49786791925 129445659005 647228295025