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41585377830091 = 3741109251494547
BaseRepresentation
bin10010111010010010110011…
…01011000110010011001011
312110020112010111000022001021
421131021121223012103023
520422313323211030331
6224240020413133311
711521305300205564
oct1135113153062313
9173215114008037
1041585377830091
1112283294724917
1247b7636a8a237
131a2863b023054
14a3aa58c1516b
154c1ae7771211
hex25d259ac64cb

41585377830091 has 16 divisors (see below), whose sum is σ = 44152382846880. Its totient is φ = 39112431793920.

The previous prime is 41585377830047. The next prime is 41585377830097. The reversal of 41585377830091 is 19003877358514.

41585377830091 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 41585377830091 - 215 = 41585377797323 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41585377830097) by changing a digit.

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, 125581921 + ... + 125912626.

It is an arithmetic number, because the mean of its divisors is an integer number (2759523927930).

Almost surely, 241585377830091 is an apocalyptic number.

41585377830091 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

41585377830091 is a deficient number, since it is larger than the sum of its proper divisors (2567005016789).

41585377830091 is a wasteful number, since it uses less digits than its factorization.

41585377830091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251494734.

The product of its (nonzero) digits is 25401600, while the sum is 61.

The spelling of 41585377830091 in words is "forty-one trillion, five hundred eighty-five billion, three hundred seventy-seven million, eight hundred thirty thousand, ninety-one".

Divisors: 1 37 41 109 1517 4033 4469 165353 251494547 9305298239 10311276427 27412905623 381517227799 1014277508051 1123929130543 41585377830091