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3325177779049 = 7233727732
BaseRepresentation
bin110000011000110100000…
…010100101001101101001
3102202212212100122000000101
4300120310002211031221
5413434431002412144
611023322055505401
7462144001526200
oct60306402451551
912685770560011
103325177779049
111072222195035
12458537388261
131b174196c009
14b6d21c5c237
155b7674e06d4
hex306340a5369

3325177779049 has 27 divisors (see below), whose sum is σ = 3884601289797. Its totient is φ = 2838018766464.

The previous prime is 3325177779047. The next prime is 3325177779103. The reversal of 3325177779049 is 9409777715233.

The square root of 3325177779049 is 1823507.

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 1610597042649 + 1714580736400 = 1269093^2 + 1309420^2 .

It is not a de Polignac number, because 3325177779049 - 21 = 3325177779047 is a prime.

It is a super-2 number, since 2×33251777790492 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3325177779047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4301652627 + ... + 4301653399.

Almost surely, 23325177779049 is an apocalyptic number.

3325177779049 is the 1823507-th square number.

3325177779049 is the 911754-th centered octagonal number.

It is an amenable number.

3325177779049 is a deficient number, since it is larger than the sum of its proper divisors (559423510748).

3325177779049 is an frugal number, since it uses more digits than its factorization.

3325177779049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 70013160, while the sum is 64.

Multiplying 3325177779049 by its sum of digits (64), we get a square (212811377859136 = 145880562).

The spelling of 3325177779049 in words is "three trillion, three hundred twenty-five billion, one hundred seventy-seven million, seven hundred seventy-nine thousand, forty-nine".

Divisors: 1 7 49 337 773 2359 5411 16513 37877 113569 260501 597529 794983 1823507 4182703 5564881 12764549 29278921 87788837 201367273 614521859 1409570911 4301653013 9866996377 67860771001 475025397007 3325177779049