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2006971679 = 22356915817
BaseRepresentation
bin111011110011111…
…1111010100011111
312011212110201120102
41313213333110133
513102241043204
6531052211315
7100506656246
oct16747772437
95155421512
102006971679
1193a979589
12480169b3b
1325ca4870b
1415079195d
15bb2dd41e
hex779ff51f

2006971679 has 8 divisors (see below), whose sum is σ = 2019642240. Its totient is φ = 1994334336.

The previous prime is 2006971657. The next prime is 2006971727. The reversal of 2006971679 is 9761796002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2006971679 - 220 = 2005923103 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006971639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118979 + ... + 134795.

It is an arithmetic number, because the mean of its divisors is an integer number (252455280).

Almost surely, 22006971679 is an apocalyptic number.

2006971679 is a deficient number, since it is larger than the sum of its proper divisors (12670561).

2006971679 is a wasteful number, since it uses less digits than its factorization.

2006971679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16609.

The product of its (nonzero) digits is 285768, while the sum is 47.

The square root of 2006971679 is about 44799.2374823501. The cubic root of 2006971679 is about 1261.3833129915.

The spelling of 2006971679 in words is "two billion, six million, nine hundred seventy-one thousand, six hundred seventy-nine".

Divisors: 1 223 569 15817 126887 3527191 8999873 2006971679