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16434274723345 = 5229145316975821
BaseRepresentation
bin1110111100100110011100…
…0110110110011000010001
32011012002201212021112010101
43233021213012312120101
54123224343312121340
654541445050332401
73314223435164563
oct357114706663021
964162655245111
1016434274723345
115266811705806
121a150a542a101
1392298c9cab2b
1440b5cd153333
151d775e83cc9a
hexef2671b6611

16434274723345 has 32 divisors (see below), whose sum is σ = 19835967129120. Its totient is φ = 13071044321280.

The previous prime is 16434274723327. The next prime is 16434274723357. The reversal of 16434274723345 is 54332747243461.

It can be written as a sum of positive squares in 16 ways, for example, as 5455443104721 + 10978831618624 = 2335689^2 + 3313432^2 .

It is not a de Polignac number, because 16434274723345 - 213 = 16434274715153 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2823270535 + ... + 2823276355.

It is an arithmetic number, because the mean of its divisors is an integer number (619873972785).

Almost surely, 216434274723345 is an apocalyptic number.

It is an amenable number.

16434274723345 is a deficient number, since it is larger than the sum of its proper divisors (3401692405775).

16434274723345 is a wasteful number, since it uses less digits than its factorization.

16434274723345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9205.

The product of its digits is 40642560, while the sum is 55.

The spelling of 16434274723345 in words is "sixteen trillion, four hundred thirty-four billion, two hundred seventy-four million, seven hundred twenty-three thousand, three hundred forty-five".

Divisors: 1 5 229 1145 1453 1697 5821 7265 8485 29105 332737 388613 1333009 1663685 1943065 2465741 6665045 8457913 9878237 12328705 42289565 49391185 564654689 1936862077 2262116273 2823273445 9684310385 11310581365 14353078361 71765391805 3286854944669 16434274723345