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105448379575 = 5271154778379
BaseRepresentation
bin110001000110100110…
…1101001010010110111
3101002011212201200221211
41202031031221102313
53211424241121300
6120235312422251
710422052303030
oct1421515512267
9332155650854
10105448379575
11407a1952340
121852a547987
139c3651b596
1451648bba87
152b2270e4ba
hex188d3694b7

105448379575 has 24 divisors (see below), whose sum is σ = 163020458880. Its totient is φ = 65734053600.

The previous prime is 105448379549. The next prime is 105448379579. The reversal of 105448379575 is 575973844501.

It is not a de Polignac number, because 105448379575 - 221 = 105446282423 is a prime.

It is a super-2 number, since 2×1054483795752 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105448379579) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 27387265 + ... + 27391114.

It is an arithmetic number, because the mean of its divisors is an integer number (6792519120).

Almost surely, 2105448379575 is an apocalyptic number.

105448379575 is a deficient number, since it is larger than the sum of its proper divisors (57572079305).

105448379575 is a wasteful number, since it uses less digits than its factorization.

105448379575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54778407 (or 54778402 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 58.

The spelling of 105448379575 in words is "one hundred five billion, four hundred forty-eight million, three hundred seventy-nine thousand, five hundred seventy-five".

Divisors: 1 5 7 11 25 35 55 77 175 275 385 1925 54778379 273891895 383448653 602562169 1369459475 1917243265 3012810845 4217935183 9586216325 15064054225 21089675915 105448379575