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3996996993 = 32113333667
BaseRepresentation
bin1110111000111101…
…0101010110000001
3101022120001111002200
43232033111112001
531141212400433
61500341303413
7201022625313
oct35617252601
911276044080
103996996993
111771223000
12936704b69
134b910c8a2
1429cbb17b3
15185d80613
hexee3d5581

3996996993 has 24 divisors (see below), whose sum is σ = 6350369376. Its totient is φ = 2422415160.

The previous prime is 3996996979. The next prime is 3996997003.

3996996993 is a `hidden beast` number, since 399 + 6 + 99 + 69 + 93 = 666.

3996996993 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3996996993 - 24 = 3996996977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3996996953) 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 23 ways as a sum of consecutive naturals, for example, 154855 + ... + 178812.

It is an arithmetic number, because the mean of its divisors is an integer number (264598724).

Almost surely, 23996996993 is an apocalyptic number.

3996996993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3996996993 is a deficient number, since it is larger than the sum of its proper divisors (2353372383).

3996996993 is a wasteful number, since it uses less digits than its factorization.

3996996993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333706 (or 333681 counting only the distinct ones).

The product of its digits is 172186884, while the sum is 72.

The square root of 3996996993 is about 63221.8078909485. The cubic root of 3996996993 is about 1587.0037044759.

The spelling of 3996996993 in words is "three billion, nine hundred ninety-six million, nine hundred ninety-six thousand, nine hundred ninety-three".

Divisors: 1 3 9 11 33 99 121 363 1089 1331 3993 11979 333667 1001001 3003003 3670337 11011011 33033033 40373707 121121121 363363363 444110777 1332332331 3996996993