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47438036225 = 526131106909
BaseRepresentation
bin101100001011100001…
…101111110100000001
311112110001000221000122
4230023201233310001
51234123114124400
633443121430025
73266362440416
oct541341576401
9145401027018
1047438036225
1119133597818
12923aa9b315
134620056828
14242039010d
1513799c9685
hexb0b86fd01

47438036225 has 12 divisors (see below), whose sum is σ = 59787481020. Its totient is φ = 37328289600.

The previous prime is 47438036207. The next prime is 47438036281. The reversal of 47438036225 is 52263083474.

It can be written as a sum of positive squares in 6 ways, for example, as 10574420224 + 36863616001 = 102832^2 + 191999^2 .

It is not a de Polignac number, because 47438036225 - 220 = 47436987649 is a prime.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15551930 + ... + 15554979.

It is an arithmetic number, because the mean of its divisors is an integer number (4982290085).

Almost surely, 247438036225 is an apocalyptic number.

It is an amenable number.

47438036225 is a deficient number, since it is larger than the sum of its proper divisors (12349444795).

47438036225 is a wasteful number, since it uses less digits than its factorization.

47438036225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31106980 (or 31106975 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 47438036225 in words is "forty-seven billion, four hundred thirty-eight million, thirty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 61 305 1525 31106909 155534545 777672725 1897521449 9487607245 47438036225