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107344455472046 = 21323189937122849
BaseRepresentation
bin11000011010000100010100…
…001000110001001110101110
3112002002000210200000111112202
4120122010110020301032232
5103032212421100101141
61020145210112301502
731416244450462262
oct3032042410611656
9462060720014482
10107344455472046
1131226589716961
12100580a8b41892
1347b8700738700
141c716dc3920a2
15c624203a949b
hex61a1142313ae

107344455472046 has 96 divisors (see below), whose sum is σ = 182197675296000. Its totient is φ = 47355722219520.

The previous prime is 107344455472039. The next prime is 107344455472063. The reversal of 107344455472046 is 640274554443701.

It is a super-2 number, since 2×1073444554720462 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107344455471982 and 107344455472000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873730430 + ... + 873853278.

It is an arithmetic number, because the mean of its divisors is an integer number (1897892451000).

Almost surely, 2107344455472046 is an apocalyptic number.

107344455472046 is a deficient number, since it is larger than the sum of its proper divisors (74853219823954).

107344455472046 is a wasteful number, since it uses less digits than its factorization.

107344455472046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123934 (or 123921 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 56.

The spelling of 107344455472046 in words is "one hundred seven trillion, three hundred forty-four billion, four hundred fifty-five million, four hundred seventy-two thousand, forty-six".

Divisors: 1 2 13 26 31 62 89 169 178 338 403 806 937 1157 1874 2314 2759 5239 5518 10478 12181 15041 24362 29047 30082 35867 58094 71734 83393 122849 158353 166786 245698 316706 377611 466271 755222 932542 1084109 1597037 2168218 2585183 3194074 3808319 4908943 5170366 7616638 9817886 10933561 14093417 20761481 21867122 28186834 33607379 41522962 49508147 67214758 99016294 115109513 142136293 230219026 284272586 338940391 436895927 643605911 677880782 873791854 1287211822 1496423669 1847771809 2992847338 3568394903 3695543618 4406225083 7136789806 8812450166 10244746657 19453507697 20489493314 38907015394 46389133739 57280926079 92778267478 114561852158 133181706541 266363413082 317587146367 603058738607 635174292734 1206117477214 1731362185033 3462724370066 4128632902771 8257265805542 53672227736023 107344455472046