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2005005421134 = 23337129730021
BaseRepresentation
bin11101001011010011101…
…000101100101001001110
321002200021021102120221000
4131023103220230221032
5230322222341434014
64133030424321130
7264566621611422
oct35132350545116
97080237376830
102005005421134
11703355320871
122847003131a6
131170c0570621
146d085562b82
153724c655509
hex1d2d3a2ca4e

2005005421134 has 16 divisors (see below), whose sum is σ = 4455567602640. Its totient is φ = 668335140360.

The previous prime is 2005005421087. The next prime is 2005005421189. The reversal of 2005005421134 is 4311245005002.

2005005421134 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 0 + 0 + 542 + 113 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2005005421098 and 2005005421107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18564864957 + ... + 18564865064.

It is an arithmetic number, because the mean of its divisors is an integer number (278472975165).

Almost surely, 22005005421134 is an apocalyptic number.

2005005421134 is an abundant number, since it is smaller than the sum of its proper divisors (2450562181506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005005421134 is a wasteful number, since it uses less digits than its factorization.

2005005421134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37129730032 (or 37129730026 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 2005005421134 in words is "two trillion, five billion, five million, four hundred twenty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 37129730021 74259460042 111389190063 222778380126 334167570189 668335140378 1002502710567 2005005421134