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16434744305 = 572173945917
BaseRepresentation
bin11110100111001011…
…00100101111110001
31120102100212111212112
433103211210233301
5232124243304210
611314445335105
71121161010300
oct172345445761
946370774775
1016434744305
116a73a91711
123227b67495
13171bb71095
14b1c9bc437
15662c6dd05
hex3d3964bf1

16434744305 has 24 divisors (see below), whose sum is σ = 24291071208. Its totient is φ = 10606622208.

The previous prime is 16434744301. The next prime is 16434744311. The reversal of 16434744305 is 50344743461.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5632052209 + 10802692096 = 75047^2 + 103936^2 .

It is not a de Polignac number, because 16434744305 - 22 = 16434744301 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16434744301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1968794 + ... + 1977123.

It is an arithmetic number, because the mean of its divisors is an integer number (1012127967).

Almost surely, 216434744305 is an apocalyptic number.

It is an amenable number.

16434744305 is a deficient number, since it is larger than the sum of its proper divisors (7856326903).

16434744305 is a wasteful number, since it uses less digits than its factorization.

16434744305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945953 (or 3945946 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 41.

The spelling of 16434744305 in words is "sixteen billion, four hundred thirty-four million, seven hundred forty-four thousand, three hundred five".

Divisors: 1 5 7 17 35 49 85 119 245 595 833 4165 3945917 19729585 27621419 67080589 138107095 193349933 335402945 469564123 966749665 2347820615 3286948861 16434744305