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6006996006 = 231191015091
BaseRepresentation
bin1011001100000101…
…10111110000100110
3120111122020000101120
411212002313300212
544300242333011
62432022434410
7301600423614
oct54602676046
916448200346
106006996006
11260287a010
1211b7892a06
1374967820b
1440db106b4
1525256aa06
hex1660b7c26

6006996006 has 16 divisors (see below), whose sum is σ = 13106173248. Its totient is φ = 1820301800.

The previous prime is 6006996001. The next prime is 6006996011.

6006996006 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6006996001) and next prime (6006996011).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6006996001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45507480 + ... + 45507611.

It is an arithmetic number, because the mean of its divisors is an integer number (819135828).

Almost surely, 26006996006 is an apocalyptic number.

6006996006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6006996006 is an abundant number, since it is smaller than the sum of its proper divisors (7099177242).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6006996006 is a wasteful number, since it uses less digits than its factorization.

6006996006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91015107.

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 6006996006 is about 77504.8127924970. The cubic root of 6006996006 is about 1817.8265733213.

The spelling of 6006996006 in words is "six billion, six million, nine hundred ninety-six thousand, six".

Divisors: 1 2 3 6 11 22 33 66 91015091 182030182 273045273 546090546 1001166001 2002332002 3003498003 6006996006