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6006001001 = 731113122449
BaseRepresentation
bin1011001011111110…
…00100110101101001
3120111120100110111112
411211333010311221
544300014013001
62431545240105
7301556111000
oct54577046551
916446313445
106006001001
11260225a4a0
1211b7493035
137493ba360
1440d931c37
15252420cbb
hex165fc4d69

6006001001 has 32 divisors (see below), whose sum is σ = 8228640000. Its totient is φ = 4319965440.

The previous prime is 6006000961. The next prime is 6006001033. The reversal of 6006001001 is 1001006006.

It is not a de Polignac number, because 6006001001 - 210 = 6005999977 is a prime.

It is a super-4 number, since 4×60060010014 (a number of 40 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (6006001081) 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 31 ways as a sum of consecutive naturals, for example, 12176 + ... + 110273.

It is an arithmetic number, because the mean of its divisors is an integer number (257145000).

Almost surely, 26006001001 is an apocalyptic number.

It is an amenable number.

6006001001 is a deficient number, since it is larger than the sum of its proper divisors (2222638999).

6006001001 is a wasteful number, since it uses less digits than its factorization.

6006001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122494 (or 122480 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 6006001001 is about 77498.3935381889. The cubic root of 6006001001 is about 1817.7261988910.

Adding to 6006001001 its reverse (1001006006), we get a palindrome (7007007007).

The spelling of 6006001001 in words is "six billion, six million, one thousand, one".

Divisors: 1 7 11 13 49 77 91 143 343 539 637 1001 3773 4459 7007 49049 122449 857143 1346939 1591837 6000001 9428573 11142859 17510207 42000007 66000011 78000013 122571449 462000077 546000091 858000143 6006001001