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861120252172225 = 5280996294421749
BaseRepresentation
bin1100001111001011110010111…
…0101111010101011111000001
311011220222021212222000110111101
43003302330232233111133001
51400332043234024002400
612251241103240214401
7346244612414225023
oct30362745657253701
94156867788013441
10861120252172225
1122a41a058aa1101
12806b6a5a16a401
132ac653a31201c6
141129062a65c013
156984aa973e56a
hex30f2f2ebd57c1

861120252172225 has 24 divisors (see below), whose sum is σ = 1069220272275000. Its totient is φ = 687973050263040.

The previous prime is 861120252172217. The next prime is 861120252172259. The reversal of 861120252172225 is 522271252021168.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 63525108229696 + 797595143942529 = 7970264^2 + 28241727^2 .

It is not a de Polignac number, because 861120252172225 - 23 = 861120252172217 is a prime.

It is a super-2 number, since 2×8611202521722252 (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192535651 + ... + 196957399.

It is an arithmetic number, because the mean of its divisors is an integer number (44550844678125).

Almost surely, 2861120252172225 is an apocalyptic number.

It is an amenable number.

861120252172225 is a deficient number, since it is larger than the sum of its proper divisors (208100020102775).

861120252172225 is a wasteful number, since it uses less digits than its factorization.

861120252172225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4432197 (or 4432192 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The spelling of 861120252172225 in words is "eight hundred sixty-one trillion, one hundred twenty billion, two hundred fifty-two million, one hundred seventy-two thousand, two hundred twenty-five".

Divisors: 1 5 25 809 4045 9629 20225 48145 240725 4421749 7789861 22108745 38949305 110543725 194746525 3577194941 17885974705 42577021121 89429873525 212885105605 1064425528025 34444810086889 172224050434445 861120252172225