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3454127274357 = 34891732769601
BaseRepresentation
bin110010010000111010000…
…001110111100101110101
3110020012201001212002010000
4302100322001313211311
5423043023040234412
611202445411021513
7504360331253514
oct62207201674565
913205631762100
103454127274357
111111983885471
1247952429a899
131c0952002626
14bd2759d067b
155ecb2ee84dc
hex3243a077975

3454127274357 has 40 divisors (see below), whose sum is σ = 5248008045720. Its totient is φ = 2263715942400.

The previous prime is 3454127274271. The next prime is 3454127274419. The reversal of 3454127274357 is 7534727214543.

3454127274357 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 12 + 7 + 274 + 357 = 666.

3454127274357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 311906612196 + 3142220662161 = 558486^2 + 1772631^2 .

It is not a de Polignac number, because 3454127274357 - 219 = 3454126750069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454127274757) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 137644 + ... + 2631957.

It is an arithmetic number, because the mean of its divisors is an integer number (131200201143).

Almost surely, 23454127274357 is an apocalyptic number.

It is an amenable number.

3454127274357 is a deficient number, since it is larger than the sum of its proper divisors (1793880771363).

3454127274357 is a wasteful number, since it uses less digits than its factorization.

3454127274357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769875 (or 2769866 counting only the distinct ones).

The product of its digits is 19756800, while the sum is 54.

The spelling of 3454127274357 in words is "three trillion, four hundred fifty-four billion, one hundred twenty-seven million, two hundred seventy-four thousand, three hundred fifty-seven".

Divisors: 1 3 9 27 81 89 173 267 519 801 1557 2403 4671 7209 14013 15397 46191 138573 415719 1247157 2769601 8308803 24926409 74779227 224337681 246494489 479140973 739483467 1437422919 2218450401 4312268757 6655351203 12936806271 19966053609 38810418813 42643546597 127930639791 383791919373 1151375758119 3454127274357