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348027255511 = 131011072699209
BaseRepresentation
bin1010001000010000000…
…10100111101011010111
31020021022121200101200021
411010020002213223113
521200224434134021
6423514223530011
734100303601415
oct5041002475327
91207277611607
10348027255511
11124663349201
1257549759907
1326a84c77cb0
1412bb78702b5
1590bdc76c41
hex51080a7ad7

348027255511 has 32 divisors (see below), whose sum is σ = 383508820800. Its totient is φ = 313897036800.

The previous prime is 348027255503. The next prime is 348027255581. The reversal of 348027255511 is 115552720843.

It is a cyclic number.

It is not a de Polignac number, because 348027255511 - 23 = 348027255503 is a prime.

It is a super-2 number, since 2×3480272555112 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348027255581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37787475 + ... + 37796683.

It is an arithmetic number, because the mean of its divisors is an integer number (11984650650).

Almost surely, 2348027255511 is an apocalyptic number.

348027255511 is a deficient number, since it is larger than the sum of its proper divisors (35481565289).

348027255511 is a wasteful number, since it uses less digits than its factorization.

348027255511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9699.

The product of its (nonzero) digits is 336000, while the sum is 43.

The spelling of 348027255511 in words is "three hundred forty-eight billion, twenty-seven million, two hundred fifty-five thousand, five hundred eleven".

Divisors: 1 13 101 107 269 1313 1391 3497 9209 10807 27169 28783 119717 140491 353197 374179 930109 985363 2477221 2907083 12091417 12809719 32203873 37792079 99521663 250199321 265062647 1293781619 3252591173 3445814411 26771327347 348027255511