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39257000705 = 513282956041
BaseRepresentation
bin100100100011111001…
…100100101100000001
310202022212222021002002
4210203321210230001
51120344243010310
630011233433345
72556553000046
oct444371445401
9122285867062
1039257000705
111571560a73a
12773710b855
133918169400
141c85a3d1cd
15104b66dda5
hex923e64b01

39257000705 has 24 divisors (see below), whose sum is σ = 51073316280. Its totient is φ = 28954298880.

The previous prime is 39257000693. The next prime is 39257000771. The reversal of 39257000705 is 50700075293.

It can be written as a sum of positive squares in 12 ways, for example, as 15514197136 + 23742803569 = 124556^2 + 154087^2 .

It is not a de Polignac number, because 39257000705 - 220 = 39255952129 is a prime.

It is a super-2 number, since 2×392570007052 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672485 + ... + 728525.

It is an arithmetic number, because the mean of its divisors is an integer number (2128054845).

Almost surely, 239257000705 is an apocalyptic number.

It is an amenable number.

39257000705 is a deficient number, since it is larger than the sum of its proper divisors (11816315575).

39257000705 is a wasteful number, since it uses less digits than its factorization.

39257000705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56901 (or 56888 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 38.

Adding to 39257000705 its reverse (50700075293), we get a palindrome (89957075998).

The spelling of 39257000705 in words is "thirty-nine billion, two hundred fifty-seven million, seven hundred five", and thus it is an aban number.

Divisors: 1 5 13 65 169 829 845 4145 10777 53885 56041 140101 280205 700505 728533 3642665 9470929 46457989 47354645 232289945 603953857 3019769285 7851400141 39257000705