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348430331824099 = 7285311517242617
BaseRepresentation
bin100111100111001010100001…
…0001010000100011111100011
31200200200121120220111200111021
41033032111002022010133203
5331132140304421332344
63233014403521030311
7133251155302646200
oct11716250212043743
91620617526450437
10348430331824099
11a1025523833548
12330b4171185397
1311c55abac57c75
146208191c96ca7
152a43714c0bb84
hex13ce5422847e3

348430331824099 has 24 divisors (see below), whose sum is σ = 406144695172608. Its totient is φ = 298045236585600.

The previous prime is 348430331824063. The next prime is 348430331824111. The reversal of 348430331824099 is 990428133034843.

It is a happy number.

It is not a de Polignac number, because 348430331824099 - 217 = 348430331693027 is a prime.

It is a super-2 number, since 2×3484303318240992 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (348430331824049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44487039 + ... + 51729655.

It is an arithmetic number, because the mean of its divisors is an integer number (16922695632192).

Almost surely, 2348430331824099 is an apocalyptic number.

348430331824099 is a deficient number, since it is larger than the sum of its proper divisors (57714363348509).

348430331824099 is a wasteful number, since it uses less digits than its factorization.

348430331824099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7244635 (or 7244628 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 61.

The spelling of 348430331824099 in words is "three hundred forty-eight trillion, four hundred thirty billion, three hundred thirty-one million, eight hundred twenty-four thousand, ninety-nine".

Divisors: 1 7 49 853 1151 5971 8057 41797 56399 981803 6872621 7242617 48108347 50698319 354888233 6177952301 8336252167 43245666107 58353765169 302719662749 408476356183 7110823098451 49775761689157 348430331824099