Search a number
-
+
2009785984623 = 331929135093499
BaseRepresentation
bin11101001111110000100…
…101000110011001101111
321010010121102220101012000
4131033300211012121233
5230412020203001443
64135141040343343
7265126241000334
oct35176045063157
97103542811160
102009785984623
1170538887a98a
12285615314b53
131176a2acb111
146d3ba42298b
153742c1b38d3
hex1d3f094666f

2009785984623 has 32 divisors (see below), whose sum is σ = 3242244000000. Its totient is φ = 1225568213856.

The previous prime is 2009785984589. The next prime is 2009785984673. The reversal of 2009785984623 is 3264895879002.

2009785984623 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 7 + 85 + 98 + 462 + 3 = 666.

It is not a de Polignac number, because 2009785984623 - 233 = 2001196050031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009785984673) 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, 67531873 + ... + 67561626.

It is an arithmetic number, because the mean of its divisors is an integer number (101320125000).

Almost surely, 22009785984623 is an apocalyptic number.

2009785984623 is a deficient number, since it is larger than the sum of its proper divisors (1232458015377).

2009785984623 is a wasteful number, since it uses less digits than its factorization.

2009785984623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135093556 (or 135093550 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2009785984623 in words is "two trillion, nine billion, seven hundred eighty-five million, nine hundred eighty-four thousand, six hundred twenty-three".

Divisors: 1 3 9 19 27 29 57 87 171 261 513 551 783 1653 4959 14877 135093499 405280497 1215841491 2566776481 3647524473 3917711471 7700329443 11753134413 23100988329 35259403239 69302964987 74436517949 105778209717 223309553847 669928661541 2009785984623