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3553134313553 = 11281929358417
BaseRepresentation
bin110011101101000111010…
…011110000000001010001
3110120200021001001210012122
4303231013103300001101
5431203304341013203
611320142023304025
7514463660226536
oct63550723600121
913520231053178
103553134313553
11114a96a765400
124947555ab015
131ca09cb9aba6
14c3d88c16d8d
1562659e92538
hex33b474f0051

3553134313553 has 12 divisors (see below), whose sum is σ = 3905569836420. Its totient is φ = 3230073665280.

The previous prime is 3553134313541. The next prime is 3553134313571.

3553134313553 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 319639844689 + 3233494468864 = 565367^2 + 1798192^2 .

It is not a de Polignac number, because 3553134313553 - 28 = 3553134313297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3553134313513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9734201 + ... + 10092617.

It is an arithmetic number, because the mean of its divisors is an integer number (325464153035).

Almost surely, 23553134313553 is an apocalyptic number.

It is an amenable number.

3553134313553 is a deficient number, since it is larger than the sum of its proper divisors (352435522867).

3553134313553 is a wasteful number, since it uses less digits than its factorization.

3553134313553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440368 (or 440357 counting only the distinct ones).

The product of its digits is 1822500, while the sum is 44.

The spelling of 3553134313553 in words is "three trillion, five hundred fifty-three billion, one hundred thirty-four million, three hundred thirteen thousand, five hundred fifty-three".

Divisors: 1 11 121 81929 358417 901219 3942587 9913409 43368457 29364746393 323012210323 3553134313553