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9838039999225 = 52293221412
BaseRepresentation
bin1000111100101001100011…
…1000010010001011111001
31021211111200220220202020011
42033022120320102023321
52242141301214433400
632531311100101521
72033526542142154
oct217123070221371
937744626822204
109838039999225
113153320114309
12112a8178348a1
13564952b0a939
142602411b2c9b
15120d9b3948ba
hex8f298e122f9

9838039999225 has 27 divisors (see below), whose sum is σ = 12246667157959. Its totient is φ = 7839906948800.

The previous prime is 9838039999181. The next prime is 9838039999237. The reversal of 9838039999225 is 5229999308389.

The square root of 9838039999225 is 3136565.

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

It can be written as a sum of positive squares in 13 ways, for example, as 360976260969 + 9477063738256 = 600813^2 + 3078484^2 .

It is a de Polignac number, because none of the positive numbers 2k-9838039999225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4595066655 + ... + 4595068795.

Almost surely, 29838039999225 is an apocalyptic number.

9838039999225 is the 3136565-th square number.

9838039999225 is the 1568283-rd centered octagonal number.

It is an amenable number.

9838039999225 is a deficient number, since it is larger than the sum of its proper divisors (2408627158734).

9838039999225 is an frugal number, since it uses more digits than its factorization.

9838039999225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 680244480, while the sum is 76.

It can be divided in two parts, 9838039 and 999225, that added together give a square (10837264 = 32922).

The spelling of 9838039999225 in words is "nine trillion, eight hundred thirty-eight billion, thirty-nine million, nine hundred ninety-nine thousand, two hundred twenty-five".

Divisors: 1 5 25 293 1465 2141 7325 10705 53525 85849 429245 627313 2146225 3136565 4583881 15682825 22919405 114597025 183802709 919013545 1343077133 4595067725 6715385665 33576928325 393521599969 1967607999845 9838039999225