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313343644768 = 25711177480511
BaseRepresentation
bin1001000111101001011…
…11001001010001100000
31002221210110100102012121
410203310233021101200
520113211433113033
6355540441434024
731431643014640
oct4436457112140
91087713312177
10313343644768
111109853560a0
125088a19b914
132371846cbbb
14112473a2520
15823dd9162d
hex48f4bc9460

313343644768 has 96 divisors (see below), whose sum is σ = 814358458368. Its totient is φ = 114900633600.

The previous prime is 313343644753. The next prime is 313343644777. The reversal of 313343644768 is 867446343313.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3698368 + ... + 3782143.

It is an arithmetic number, because the mean of its divisors is an integer number (8482900608).

Almost surely, 2313343644768 is an apocalyptic number.

It is an amenable number.

313343644768 is an abundant number, since it is smaller than the sum of its proper divisors (501014813600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313343644768 is a wasteful number, since it uses less digits than its factorization.

313343644768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7480556 (or 7480548 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 52.

The spelling of 313343644768 in words is "three hundred thirteen billion, three hundred forty-three million, six hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 68 77 88 112 119 136 154 176 187 224 238 272 308 352 374 476 544 616 748 952 1232 1309 1496 1904 2464 2618 2992 3808 5236 5984 10472 20944 41888 7480511 14961022 29922044 52363577 59844088 82285621 104727154 119688176 127168687 164571242 209454308 239376352 254337374 329142484 418908616 508674748 575999347 658284968 837817232 890180809 1017349496 1151998694 1316569936 1398855557 1675634464 1780361618 2034698992 2303997388 2633139872 2797711114 3560723236 4069397984 4607994776 5595422228 7121446472 9215989552 9791988899 11190844456 14242892944 18431979104 19583977798 22381688912 28485785888 39167955596 44763377824 78335911192 156671822384 313343644768