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4576806117 = 3213231113859
BaseRepresentation
bin1000100001100110…
…01000010011100101
3102210222001211200200
410100303020103211
533333130243432
62034052501113
7221263132032
oct42063102345
912728054620
104576806117
111a395401a4
12a7891a799
1357c289200
14315bc0389
151bbc10a7c
hex110cc84e5

4576806117 has 72 divisors (see below), whose sum is σ = 7463589120. Its totient is φ = 2698375680.

The previous prime is 4576806107. The next prime is 4576806119. The reversal of 4576806117 is 7116086754.

4576806117 is a `hidden beast` number, since 4 + 576 + 8 + 0 + 61 + 17 = 666.

It is not a de Polignac number, because 4576806117 - 211 = 4576804069 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4576806119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5327634 + ... + 5328492.

It is an arithmetic number, because the mean of its divisors is an integer number (103660960).

Almost surely, 24576806117 is an apocalyptic number.

It is an amenable number.

4576806117 is a deficient number, since it is larger than the sum of its proper divisors (2886783003).

4576806117 is a wasteful number, since it uses less digits than its factorization.

4576806117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 4576806117 is about 67652.0961759501. The cubic root of 4576806117 is about 1660.3035827651.

The spelling of 4576806117 in words is "four billion, five hundred seventy-six million, eight hundred six thousand, one hundred seventeen".

Divisors: 1 3 9 13 31 39 93 113 117 169 279 339 403 507 859 1017 1209 1469 1521 2577 3503 3627 4407 5239 7731 10509 11167 13221 15717 19097 26629 31527 33501 45539 47151 57291 79887 97067 100503 136617 145171 171873 239661 291201 346177 409851 435513 592007 873603 1038531 1261871 1306539 1776021 3009077 3115593 3785613 4500301 5328063 9027231 11356839 13500903 16404323 27081693 39118001 40502709 49212969 117354003 147638907 352062009 508534013 1525602039 4576806117