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2006338957 = 721033311201
BaseRepresentation
bin111011110010110…
…0100110110001101
312011211021120122021
41313211210312031
513102110321312
6531030450141
7100501412500
oct16745446615
95154246567
102006338957
1193a587177
1247bb03951
1325c88671c
14150669137
15bb215c07
hex77964d8d

2006338957 has 24 divisors (see below), whose sum is σ = 2365651392. Its totient is φ = 1696464000.

The previous prime is 2006338913. The next prime is 2006338969. The reversal of 2006338957 is 7598336002.

It is not a de Polignac number, because 2006338957 - 215 = 2006306189 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 (2006338757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1669957 + ... + 1671157.

It is an arithmetic number, because the mean of its divisors is an integer number (98568808).

Almost surely, 22006338957 is an apocalyptic number.

It is an amenable number.

2006338957 is a deficient number, since it is larger than the sum of its proper divisors (359312435).

2006338957 is a wasteful number, since it uses less digits than its factorization.

2006338957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The square root of 2006338957 is about 44792.1751760282. The cubic root of 2006338957 is about 1261.2507436306.

The spelling of 2006338957 in words is "two billion, six million, three hundred thirty-eight thousand, nine hundred fifty-seven".

Divisors: 1 7 49 103 331 721 1201 2317 5047 8407 16219 34093 58849 123703 238651 397531 865921 1670557 2782717 6061447 19479019 40945693 286619851 2006338957