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2005124436403 = 1117127709119083
BaseRepresentation
bin11101001011011010101…
…110101101000110110011
321002200120120101012011221
4131023122232231012303
5230322443323431103
64133050315245511
7264602565331624
oct35133256550663
97080516335157
102005124436403
1170340651a7a0
12284734149897
1311710c11126a
146d0972a3a4b
1537257d141bd
hex1d2dabad1b3

2005124436403 has 32 divisors (see below), whose sum is σ = 2337628446720. Its totient is φ = 1699690728960.

The previous prime is 2005124436389. The next prime is 2005124436457. The reversal of 2005124436403 is 3046344215002.

It is a cyclic number.

It is not a de Polignac number, because 2005124436403 - 29 = 2005124435891 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005124436103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16778500 + ... + 16897582.

It is an arithmetic number, because the mean of its divisors is an integer number (73050888960).

Almost surely, 22005124436403 is an apocalyptic number.

2005124436403 is a deficient number, since it is larger than the sum of its proper divisors (332504010317).

2005124436403 is a wasteful number, since it uses less digits than its factorization.

2005124436403 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119947.

The product of its (nonzero) digits is 69120, while the sum is 34.

The spelling of 2005124436403 in words is "two trillion, five billion, one hundred twenty-four million, four hundred thirty-six thousand, four hundred three".

Divisors: 1 11 17 127 187 709 1397 2159 7799 12053 23749 90043 119083 132583 990473 1309913 1530731 2024411 15123541 16838041 22268521 84429847 166358951 257100197 928728317 1435307399 2828102167 10722590569 15788381389 117948496259 182284039673 2005124436403