Search a number
-
+
34127893553 = 1317333014597
BaseRepresentation
bin11111110010001011…
…100101010000110001
310021002102122121210112
4133302023211100301
51024343220043203
623402251111105
72315502210635
oct376213452061
9107072577715
1034127893553
1113523340606
126745442495
1332ab645570
14191a770dc5
15d4b2136d8
hex7f22e5431

34127893553 has 16 divisors (see below), whose sum is σ = 36984803856. Its totient is φ = 31304275200.

The previous prime is 34127893531. The next prime is 34127893559. The reversal of 34127893553 is 35539872143.

It can be written as a sum of positive squares in 8 ways, for example, as 4431298624 + 29696594929 = 66568^2 + 172327^2 .

It is a cyclic number.

It is not a de Polignac number, because 34127893553 - 212 = 34127889457 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34127893559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7421651 + ... + 7426247.

It is an arithmetic number, because the mean of its divisors is an integer number (2311550241).

Almost surely, 234127893553 is an apocalyptic number.

It is an amenable number.

34127893553 is a deficient number, since it is larger than the sum of its proper divisors (2856910303).

34127893553 is a wasteful number, since it uses less digits than its factorization.

34127893553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8084.

The product of its digits is 2721600, while the sum is 50.

The spelling of 34127893553 in words is "thirty-four billion, one hundred twenty-seven million, eight hundred ninety-three thousand, five hundred fifty-three".

Divisors: 1 13 173 2249 3301 4597 42913 59761 571073 795281 7423949 10338653 15174697 197271061 2625222581 34127893553