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348027255117 = 324122928114657
BaseRepresentation
bin1010001000010000000…
…10100111100101001101
31020021022121200101010200
411010020002213211031
521200224434130432
6423514223524113
734100303600313
oct5041002474515
91207277611120
10348027255117
11124663348983
1257549759639
1326a84c77a69
1412bb78700b3
1590bdc76a7c
hex51080a794d

348027255117 has 48 divisors (see below), whose sum is σ = 519091962480. Its totient is φ = 224553369600.

The previous prime is 348027255089. The next prime is 348027255187. The reversal of 348027255117 is 711552720843.

348027255117 is a `hidden beast` number, since 3 + 4 + 80 + 2 + 7 + 2 + 551 + 17 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 59841879876 + 288185375241 = 244626^2 + 536829^2 .

It is not a de Polignac number, because 348027255117 - 26 = 348027255053 is a prime.

It is a super-2 number, since 2×3480272551172 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348027255187) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23737453 + ... + 23752109.

It is an arithmetic number, because the mean of its divisors is an integer number (10814415885).

Almost surely, 2348027255117 is an apocalyptic number.

It is an amenable number.

348027255117 is a deficient number, since it is larger than the sum of its proper divisors (171064707363).

348027255117 is a wasteful number, since it uses less digits than its factorization.

348027255117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15214 (or 15211 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 348027255117 in words is "three hundred forty-eight billion, twenty-seven million, two hundred fifty-five thousand, one hundred seventeen".

Divisors: 1 3 9 41 123 229 281 369 687 843 2061 2529 9389 11521 14657 28167 34563 43971 64349 84501 103689 131913 193047 579141 600937 1802811 2638309 3356453 4118617 5408433 7914927 10069359 12355851 23744781 30208077 37067553 137614573 168863297 412843719 506589891 943163293 1238531157 1519769673 2829489879 8488469637 38669695013 116009085039 348027255117