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906792993 = 321946111503
BaseRepresentation
bin110110000011001…
…001000000100001
32100012021212010200
4312003021000201
53324114333433
6225551415413
731320420231
oct6603110041
92305255120
10906792993
11425951aa7
12213824569
13115b34602
1488607cc1
155491e613
hex360c9021

906792993 has 24 divisors (see below), whose sum is σ = 1381860480. Its totient is φ = 571419360.

The previous prime is 906792983. The next prime is 906793001. The reversal of 906792993 is 399297609.

It is not a de Polignac number, because 906792993 - 24 = 906792977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (906792973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73080 + ... + 84582.

It is an arithmetic number, because the mean of its divisors is an integer number (57577520).

Almost surely, 2906792993 is an apocalyptic number.

It is an amenable number.

906792993 is a deficient number, since it is larger than the sum of its proper divisors (475067487).

906792993 is a wasteful number, since it uses less digits than its factorization.

906792993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11989 (or 11986 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The square root of 906792993 is about 30113.0037193237. The cubic root of 906792993 is about 967.9123959522.

The spelling of 906792993 in words is "nine hundred six million, seven hundred ninety-two thousand, nine hundred ninety-three".

Divisors: 1 3 9 19 57 171 461 1383 4149 8759 11503 26277 34509 78831 103527 218557 655671 1967013 5302883 15908649 47725947 100754777 302264331 906792993