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5305905417 = 310121418179
BaseRepresentation
bin1001111000100000…
…11011000100001001
3111200202222220220110
410330100123010021
541331302433132
62234255544533
7245325311001
oct47420330411
914622886813
105305905417
1122830552aa
121040b2b149
13667346607
14384971001
15210c301cc
hex13c41b109

5305905417 has 16 divisors (see below), whose sum is σ = 7148796480. Its totient is φ = 3500184000.

The previous prime is 5305905403. The next prime is 5305905433. The reversal of 5305905417 is 7145095035.

It is not a de Polignac number, because 5305905417 - 214 = 5305889033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5305905617) 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 15 ways as a sum of consecutive naturals, for example, 644634 + ... + 652812.

It is an arithmetic number, because the mean of its divisors is an integer number (446799780).

Almost surely, 25305905417 is an apocalyptic number.

It is an amenable number.

5305905417 is a deficient number, since it is larger than the sum of its proper divisors (1842891063).

5305905417 is a wasteful number, since it uses less digits than its factorization.

5305905417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10424.

The product of its (nonzero) digits is 94500, while the sum is 39.

The square root of 5305905417 is about 72841.6461716785. The cubic root of 5305905417 is about 1744.1607189975.

The spelling of 5305905417 in words is "five billion, three hundred five million, nine hundred five thousand, four hundred seventeen".

Divisors: 1 3 101 303 2141 6423 8179 24537 216241 648723 826079 2478237 17511239 52533717 1768635139 5305905417