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9922953249 = 3311534431423
BaseRepresentation
bin10010011110111010…
…00100000000100001
3221121112210020212000
421033131010000201
5130310234000444
64320351154213
7500620465566
oct111735040041
927545706760
109922953249
114232280710
121b0b215969
13c21a52391
146a1c2886d
153d123e469
hex24f744021

9922953249 has 64 divisors (see below), whose sum is σ = 16388075520. Its totient is φ = 5882984640.

The previous prime is 9922953223. The next prime is 9922953253. The reversal of 9922953249 is 9423592299.

It is a happy number.

9922953249 is a `hidden beast` number, since 99 + 229 + 5 + 324 + 9 = 666.

It is not a de Polignac number, because 9922953249 - 29 = 9922952737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9922953195 and 9922953204.

It is not an unprimeable number, because it can be changed into a prime (9922953259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6972552 + ... + 6973974.

It is an arithmetic number, because the mean of its divisors is an integer number (256063680).

Almost surely, 29922953249 is an apocalyptic number.

9922953249 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

9922953249 is a deficient number, since it is larger than the sum of its proper divisors (6465122271).

9922953249 is a wasteful number, since it uses less digits than its factorization.

9922953249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1933 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The square root of 9922953249 is about 99614.0213473987. The cubic root of 9922953249 is about 2148.8873456123.

The spelling of 9922953249 in words is "nine billion, nine hundred twenty-two million, nine hundred fifty-three thousand, two hundred forty-nine".

Divisors: 1 3 9 11 27 33 53 99 159 297 443 477 583 1329 1423 1431 1749 3987 4269 4873 5247 11961 12807 14619 15653 15741 23479 38421 43857 46959 70437 75419 131571 140877 211311 226257 258269 422631 630389 633933 678771 774807 829609 1891167 2036313 2324421 2488827 5673501 6934279 6973263 7466481 17020503 20802837 22399443 33410617 62408511 100231851 187225533 300695553 367516787 902086659 1102550361 3307651083 9922953249