Search a number
-
+
9930660399 = 331137903691
BaseRepresentation
bin10010011111110100…
…11101101000101111
3221122002021211002000
421033322131220233
5130314222113044
64321224303343
7501043135452
oct111772355057
927562254060
109930660399
114236665160
121b11911b53
13c2352041a
146a2c73499
153d1c62d69
hex24fe9da2f

9930660399 has 32 divisors (see below), whose sum is σ = 16483342080. Its totient is φ = 5855911200.

The previous prime is 9930660349. The next prime is 9930660431.

9930660399 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9930660399 - 29 = 9930659887 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9930660349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440857 + ... + 462834.

It is an arithmetic number, because the mean of its divisors is an integer number (515104440).

Almost surely, 29930660399 is an apocalyptic number.

9930660399 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

9930660399 is a deficient number, since it is larger than the sum of its proper divisors (6552681681).

9930660399 is a wasteful number, since it uses less digits than its factorization.

9930660399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903748 (or 903742 counting only the distinct ones).

The product of its (nonzero) digits is 2125764, while the sum is 54.

The square root of 9930660399 is about 99652.6989047462. The cubic root of 9930660399 is about 2149.4435480081.

The spelling of 9930660399 in words is "nine billion, nine hundred thirty million, six hundred sixty thousand, three hundred ninety-nine".

Divisors: 1 3 9 11 27 33 37 99 111 297 333 407 999 1221 3663 10989 903691 2711073 8133219 9940601 24399657 29821803 33436567 89465409 100309701 268396227 300929103 367802237 902787309 1103406711 3310220133 9930660399