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2006964111 = 32961794787
BaseRepresentation
bin111011110011111…
…1101011110001111
312011212110100012010
41313213331132033
513102240322421
6531052112303
7100506625215
oct16747753617
95155410163
102006964111
1193a973929
12480165693
1325ca45139
1415078ccb5
15bb2db076
hex779fd78f

2006964111 has 32 divisors (see below), whose sum is σ = 2849817600. Its totient is φ = 1254314880.

The previous prime is 2006964079. The next prime is 2006964131. The reversal of 2006964111 is 1114696002.

It is a happy number.

It is not a de Polignac number, because 2006964111 - 25 = 2006964079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006964131) 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 31 ways as a sum of consecutive naturals, for example, 416860 + ... + 421646.

It is an arithmetic number, because the mean of its divisors is an integer number (89056800).

Almost surely, 22006964111 is an apocalyptic number.

2006964111 is a deficient number, since it is larger than the sum of its proper divisors (842853489).

2006964111 is a wasteful number, since it uses less digits than its factorization.

2006964111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4959.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2006964111 is about 44799.1530165471. The cubic root of 2006964111 is about 1261.3817274914.

The spelling of 2006964111 in words is "two billion, six million, nine hundred sixty-four thousand, one hundred eleven".

Divisors: 1 3 29 61 79 87 183 237 1769 2291 4787 4819 5307 6873 14361 14457 138823 139751 292007 378173 416469 419253 876021 1134519 8468203 10967017 23068553 25404609 32901051 69205659 668988037 2006964111