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3387495465225 = 32521227012
BaseRepresentation
bin110001010010110110011…
…101101100000100001001
3102222211201101100110111100
4301102312131230010021
5421000042314341400
611112105520052013
7466511203236354
oct61226635540411
912884641313440
103387495465225
1110966a0973013
12468629464009
131b7593624531
14b9d5446529b
155d1b345a100
hex314b676c109

3387495465225 has 27 divisors (see below), whose sum is σ = 6067430215509. Its totient is φ = 1806649524000.

The previous prime is 3387495465197. The next prime is 3387495465307. The reversal of 3387495465225 is 5225645947833.

The square root of 3387495465225 is 1840515.

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

3387495465225 is a `hidden beast` number, since 3 + 3 + 87 + 4 + 9 + 546 + 5 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 700282775241 + 2687212689984 = 836829^2 + 1639272^2 .

It is not a de Polignac number, because 3387495465225 - 215 = 3387495432457 is a prime.

It is a super-2 number, since 2×33874954652252 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27546375 + ... + 27669075.

Almost surely, 23387495465225 is an apocalyptic number.

3387495465225 is the 1840515-th square number.

3387495465225 is the 920258-th centered octagonal number.

It is an amenable number.

3387495465225 is a deficient number, since it is larger than the sum of its proper divisors (2679934750284).

3387495465225 is an frugal number, since it uses more digits than its factorization.

3387495465225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245418 (or 122709 counting only the distinct ones).

The product of its digits is 217728000, while the sum is 63.

The spelling of 3387495465225 in words is "three trillion, three hundred eighty-seven billion, four hundred ninety-five million, four hundred sixty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 122701 368103 613505 1104309 1840515 3067525 5521545 9202575 27607725 15055535401 45166606203 75277677005 135499818609 225833031015 376388385025 677499093045 1129165155075 3387495465225