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3993663993 = 311631191791
BaseRepresentation
bin1110111000001010…
…0111100111111001
3101022022210011002020
43232002213213321
531134334221433
61500142025053
7200652404154
oct35602474771
911268704066
103993663993
11176a356960
12935578189
134b85137b7
1429c584c9b
15185922cb3
hexee0a79f9

3993663993 has 16 divisors (see below), whose sum is σ = 5818202112. Its totient is φ = 2416554000.

The previous prime is 3993663959. The next prime is 3993663997.

3993663993 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3993663993 - 29 = 3993663481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3993663997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75073 + ... + 116718.

It is an arithmetic number, because the mean of its divisors is an integer number (363637632).

Almost surely, 23993663993 is an apocalyptic number.

3993663993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3993663993 is a deficient number, since it is larger than the sum of its proper divisors (1824538119).

3993663993 is a wasteful number, since it uses less digits than its factorization.

3993663993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192436.

The product of its digits is 19131876, while the sum is 60.

The square root of 3993663993 is about 63195.4428182919. The cubic root of 3993663993 is about 1586.5624603539.

The spelling of 3993663993 in words is "three billion, nine hundred ninety-three million, six hundred sixty-three thousand, nine hundred ninety-three".

Divisors: 1 3 11 33 631 1893 6941 20823 191791 575373 2109701 6329103 121020121 363060363 1331221331 3993663993