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9688405961 = 131743838941
BaseRepresentation
bin10010000010111100…
…10101011111001001
3221000012110000110102
421001132111133021
5124320212442321
64241212055145
7462042043343
oct110136253711
927005400412
109688405961
114121941883
121a647644b5
13bb52903c0
1467ca12293
153ba85dc0b
hex2417957c9

9688405961 has 8 divisors (see below), whose sum is σ = 11047413384. Its totient is φ = 8417076480.

The previous prime is 9688405901. The next prime is 9688405973. The reversal of 9688405961 is 1695048869.

It is a happy number.

9688405961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3211375561 + 6477030400 = 56669^2 + 80480^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9688405961 - 210 = 9688404937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9688405897 and 9688405906.

It is not an unprimeable number, because it can be changed into a prime (9688405901) 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 7 ways as a sum of consecutive naturals, for example, 21919250 + ... + 21919691.

It is an arithmetic number, because the mean of its divisors is an integer number (1380926673).

Almost surely, 29688405961 is an apocalyptic number.

It is an amenable number.

9688405961 is a deficient number, since it is larger than the sum of its proper divisors (1359007423).

9688405961 is a wasteful number, since it uses less digits than its factorization.

9688405961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43838971.

The product of its (nonzero) digits is 3732480, while the sum is 56.

The square root of 9688405961 is about 98429.7006040352. The cubic root of 9688405961 is about 2131.8211966233.

The spelling of 9688405961 in words is "nine billion, six hundred eighty-eight million, four hundred five thousand, nine hundred sixty-one".

Divisors: 1 13 17 221 43838941 569906233 745261997 9688405961