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270656941009 = 7213257172
BaseRepresentation
bin1111110000010001101…
…0010010101111010001
3221212121112210012000111
43330010122102233101
513413301134103014
6324201005321321
725361063016400
oct3740432225721
9855545705014
10270656941009
11a486a872824
1244556566241
131c6a48aac00
14d158063637
15709159e2c4
hex3f04692bd1

270656941009 has 27 divisors (see below), whose sum is σ = 340987376817. Its totient is φ = 214108693344.

The previous prime is 270656940997. The next prime is 270656941063. The reversal of 270656941009 is 900149656072.

It is a happy number.

The square root of 270656941009 is 520247.

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

270656941009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24759966609 + 245896974400 = 157353^2 + 495880^2 .

It is not a de Polignac number, because 270656941009 - 211 = 270656938961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (270656041009) by changing a digit.

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, 47339619 + ... + 47345335.

Almost surely, 2270656941009 is an apocalyptic number.

270656941009 is the 520247-th square number.

270656941009 is the 260124-th centered octagonal number.

It is an amenable number.

270656941009 is a deficient number, since it is larger than the sum of its proper divisors (70330435808).

270656941009 is an frugal number, since it uses more digits than its factorization.

270656941009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11474 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 270656941009 by its sum of digits (49), we get a square (13262190109441 = 36417292).

270656941009 divided by its sum of digits (49) gives a square (5523611041 = 743212).

The spelling of 270656941009 in words is "two hundred seventy billion, six hundred fifty-six million, nine hundred forty-one thousand, nine".

Divisors: 1 7 13 49 91 169 637 1183 5717 8281 40019 74321 280133 520247 966173 3641729 6763211 32684089 47342477 228788623 424893157 1601520361 2974252099 5523611041 20819764693 38665277287 270656941009