Search a number
-
+
9973336647481 = 1932163632
BaseRepresentation
bin1001000100100001100100…
…1100000010011100111001
31022022102220222102121022121
42101020121030002130321
52301400343140204411
633113404304521241
72046356402523544
oct221103114023471
938272828377277
109973336647481
1131a5739595699
121150a96320221
1357463513735c
142669d7cbd85b
1512466920a571
hex91219302739

9973336647481 has 9 divisors (see below), whose sum is σ = 10025892431919. Its totient is φ = 9921054980736.

The previous prime is 9973336647433. The next prime is 9973336647563. The reversal of 9973336647481 is 1847466333799.

The square root of 9973336647481 is 3158059.

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., 2416423615225 + 7556913032256 = 1554485^2 + 2748984^2 .

It is not a de Polignac number, because 9973336647481 - 237 = 9835897694009 is a prime.

It is a super-2 number, since 2×99733366474812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9973336647481.

It is not an unprimeable number, because it can be changed into a prime (9973336647881) 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, 609497206 + ... + 609513568.

It is an arithmetic number, because the mean of its divisors is an integer number (1113988047991).

Almost surely, 29973336647481 is an apocalyptic number.

9973336647481 is the 3158059-th square number.

9973336647481 is the 1579030-th centered octagonal number.

It is an amenable number.

9973336647481 is a deficient number, since it is larger than the sum of its proper divisors (52555784438).

9973336647481 is an frugal number, since it uses more digits than its factorization.

9973336647481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33112 (or 16556 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 70.

The spelling of 9973336647481 in words is "nine trillion, nine hundred seventy-three billion, three hundred thirty-six million, six hundred forty-seven thousand, four hundred eighty-one".

Divisors: 1 193 16363 37249 3158059 267747769 609505387 51675319417 9973336647481