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99993663 = 3372116871
BaseRepresentation
bin1011111010111…
…00100000111111
320222011012112000
411331130200333
5201044244123
613531113343
72322634500
oct575344077
9228135460
1099993663
11514977a0
12295a2853
1317940963
14d3ccba7
158ba2b43
hex5f5c83f

99993663 has 48 divisors (see below), whose sum is σ = 188017920. Its totient is φ = 51937200.

The previous prime is 99993611. The next prime is 99993671. The reversal of 99993663 is 36639999.

It is not a de Polignac number, because 99993663 - 28 = 99993407 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99993163) 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 47 ways as a sum of consecutive naturals, for example, 11118 + ... + 17988.

It is an arithmetic number, because the mean of its divisors is an integer number (3917040).

Almost surely, 299993663 is an apocalyptic number.

99993663 is a deficient number, since it is larger than the sum of its proper divisors (88024257).

99993663 is a wasteful number, since it uses less digits than its factorization.

99993663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905 (or 6892 counting only the distinct ones).

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

The square root of 99993663 is about 9999.6831449801. The cubic root of 99993663 is about 464.1490785714.

It can be divided in two parts, 999936 and 63, that added together give a palindrome (999999).

The spelling of 99993663 in words is "ninety-nine million, nine hundred ninety-three thousand, six hundred sixty-three".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 147 189 231 297 441 539 693 1323 1617 2079 4851 6871 14553 20613 48097 61839 75581 144291 185517 226743 336679 432873 529067 680229 1010037 1298619 1587201 2040687 3030111 3703469 4761603 9090333 11110407 14284809 33331221 99993663