Search a number
-
+
9917347269124 = 22172926232
BaseRepresentation
bin1001000001010000111111…
…1101100000101000000100
31022010002101222112111011201
42100110033331200220010
52244441211400102444
633031544430112244
72042335052621401
oct220241775405004
938102358474151
109917347269124
113183a17a96a79
12114206b64b684
1356c28157a389
14264005d472a8
15122e8db29dd4
hex9050ff60a04

9917347269124 has 27 divisors (see below), whose sum is σ = 18436513306197. Its totient is φ = 4666936563264.

The previous prime is 9917347269103. The next prime is 9917347269127. The reversal of 9917347269124 is 4219627437199.

The square root of 9917347269124 is 3149182.

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

It can be written as a sum of positive squares in only one way, i.e., 7721118116100 + 2196229153024 = 2778690^2 + 1481968^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9917347269127) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 107025877 + ... + 107118499.

Almost surely, 29917347269124 is an apocalyptic number.

9917347269124 is the 3149182-nd square number.

It is an amenable number.

9917347269124 is a deficient number, since it is larger than the sum of its proper divisors (8519166037073).

9917347269124 is an frugal number, since it uses more digits than its factorization.

9917347269124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185284 (or 92642 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 64.

Multiplying 9917347269124 by its sum of digits (64), we get a square (634710225223936 = 251934562).

The spelling of 9917347269124 in words is "nine trillion, nine hundred seventeen billion, three hundred forty-seven million, two hundred sixty-nine thousand, one hundred twenty-four".

Divisors: 1 2 4 17 34 68 289 578 1156 92623 185246 370492 1574591 3149182 6298364 26768047 53536094 107072188 8579020129 17158040258 34316080516 145843342193 291686684386 583373368772 2479336817281 4958673634562 9917347269124