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41253307105 = 543253591427
BaseRepresentation
bin100110011010111000…
…111000001011100001
310221111000101010122011
4212122320320023201
51133441321311410
630541305312521
72660203216243
oct463270701341
9127430333564
1041253307105
111654a46423a
127bb3795741
133b7591c4ba
141dd4c16093
151116a5218a
hex99ae382e1

41253307105 has 48 divisors (see below), whose sum is σ = 52550285760. Its totient is φ = 31069094784.

The previous prime is 41253307079. The next prime is 41253307141. The reversal of 41253307105 is 50170335214.

It is a happy number.

It is not a de Polignac number, because 41253307105 - 29 = 41253306593 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 28908402 + ... + 28909828.

It is an arithmetic number, because the mean of its divisors is an integer number (1094797620).

Almost surely, 241253307105 is an apocalyptic number.

It is an amenable number.

41253307105 is a deficient number, since it is larger than the sum of its proper divisors (11296978655).

41253307105 is a wasteful number, since it uses less digits than its factorization.

41253307105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The spelling of 41253307105 in words is "forty-one billion, two hundred fifty-three million, three hundred seven thousand, one hundred five".

Divisors: 1 5 43 53 59 215 265 295 1427 1849 2279 2537 3127 7135 9245 11395 12685 15635 61361 75631 84193 97997 109091 134461 306805 378155 420965 489985 545455 672305 2638523 3252133 3620299 4462229 5781823 13192615 16260665 18101495 22311145 28909115 139841719 155672857 191875847 699208595 778364285 959379235 8250661421 41253307105