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105241366248008 = 231715231405136161
BaseRepresentation
bin10111111011011101101010…
…010000000011101001001000
3111210121222100202121110121212
4113323131222100003221020
5102243233304224414013
61011455114411352252
731111303110151514
oct2773355220035110
9453558322543555
10105241366248008
1130595681679261
12b978594752688
1346952ab6706b3
141bdb9d0491144
15c27881d766a8
hex5fb76a403a48

105241366248008 has 64 divisors (see below), whose sum is σ = 209092913507520. Its totient is φ = 49487939584000.

The previous prime is 105241366247999. The next prime is 105241366248017. The reversal of 105241366248008 is 800842663142501.

It is an interprime number because it is at equal distance from previous prime (105241366247999) and next prime (105241366248017).

It is a super-2 number, since 2×1052413662480082 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2910337448 + ... + 2910373608.

It is an arithmetic number, because the mean of its divisors is an integer number (3267076773555).

Almost surely, 2105241366248008 is an apocalyptic number.

It is an amenable number.

105241366248008 is a deficient number, since it is larger than the sum of its proper divisors (103851547259512).

105241366248008 is a wasteful number, since it uses less digits than its factorization.

105241366248008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51758 (or 51754 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 50.

The spelling of 105241366248008 in words is "one hundred five trillion, two hundred forty-one billion, three hundred sixty-six million, two hundred forty-eight thousand, eight".

Divisors: 1 2 4 8 17 34 68 136 1523 3046 6092 12184 14051 25891 28102 36161 51782 56204 72322 103564 112408 144644 207128 238867 289288 477734 614737 955468 1229474 1910936 2458948 4917896 21399673 42799346 55073203 85598692 110146406 171197384 220292812 363794441 440585624 508098211 727588882 936244451 1016196422 1455177764 1872488902 2032392844 2910355528 3744977804 4064785688 7489955608 8637669587 17275339174 34550678348 69101356696 773833575353 1547667150706 3095334301412 6190668602824 13155170781001 26310341562002 52620683124004 105241366248008