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9822604993 = 292973472
BaseRepresentation
bin10010010010111100…
…10000111011000001
3221100112222000220221
421021132100323001
5130104041324433
64302404303041
7465261523225
oct111136207301
927315860827
109822604993
114190671573
121aa16a1a81
13c07019206
14692786785
153c751b72d
hex249790ec1

9822604993 has 18 divisors (see below), whose sum is σ = 10307576006. Its totient is φ = 9359073024.

The previous prime is 9822604973. The next prime is 9822605041. The reversal of 9822604993 is 3994062289.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1430579329 + 8392025664 = 37823^2 + 91608^2 .

It is not a de Polignac number, because 9822604993 - 225 = 9789050561 is a prime.

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 9822604993.

It is not an unprimeable number, because it can be changed into a prime (9822604943) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28307046 + ... + 28307392.

Almost surely, 29822604993 is an apocalyptic number.

It is an amenable number.

9822604993 is a deficient number, since it is larger than the sum of its proper divisors (484971013).

9822604993 is an frugal number, since it uses more digits than its factorization.

9822604993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The square root of 9822604993 is about 99109.0560594742. The cubic root of 9822604993 is about 2141.6190758527.

The spelling of 9822604993 in words is "nine billion, eight hundred twenty-two million, six hundred four thousand, nine hundred ninety-three".

Divisors: 1 29 97 347 841 2813 10063 33659 81577 120409 291827 976111 3491861 11679673 28307219 101263969 338710517 9822604993