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3481056763317 = 337175320442053
BaseRepresentation
bin110010101001111111001…
…001101101110110110101
3110022210012211102212012000
4302221333021231312311
5424013201012411232
611223101515245513
7506332555164240
oct62517711556665
913283184385160
103481056763317
111122342879071
1248279aa49899
131c33541c5b93
14c06ac31a257
156083c2a127c
hex32a7f26ddb5

3481056763317 has 64 divisors (see below), whose sum is σ = 6358296476160. Its totient is φ = 1836841024512.

The previous prime is 3481056763313. The next prime is 3481056763361. The reversal of 3481056763317 is 7133676501843.

3481056763317 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 0 + 567 + 63 + 3 + 17 = 666.

3481056763317 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3481056763317 - 22 = 3481056763313 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481056763313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10050738 + ... + 10391315.

It is an arithmetic number, because the mean of its divisors is an integer number (99348382440).

Almost surely, 23481056763317 is an apocalyptic number.

It is an amenable number.

3481056763317 is a deficient number, since it is larger than the sum of its proper divisors (2877239712843).

3481056763317 is a wasteful number, since it uses less digits than its factorization.

3481056763317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20442139 (or 20442133 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 3481056763317 in words is "three trillion, four hundred eighty-one billion, fifty-six million, seven hundred sixty-three thousand, three hundred seventeen".

Divisors: 1 3 7 9 17 21 27 51 53 63 119 153 159 189 357 371 459 477 901 1071 1113 1431 2703 3213 3339 6307 8109 10017 18921 24327 56763 170289 20442053 61326159 143094371 183978477 347514901 429283113 551935431 1042544703 1083428809 1287849339 2432604307 3127634109 3250286427 3863548017 7297812921 7584001663 9382902327 9750859281 18418289753 21893438763 22752004989 29252577843 55254869259 65680316289 68256014967 128928028271 165764607777 204768044901 386784084813 497293823331 1160352254439 3481056763317