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41463381918 = 237411031571489
BaseRepresentation
bin100110100111011010…
…001111111110011110
310222000122200001002210
4212213122033332132
51134404111210133
631014212101250
72665333634250
oct464732177636
9128018601083
1041463381918
1116647aa8592
128052004826
133baa2c341a
142014a9bcd0
15112a1eb763
hex9a768ff9e

41463381918 has 128 divisors (see below), whose sum is σ = 98718197760. Its totient is φ = 11364986880.

The previous prime is 41463381917. The next prime is 41463381937. The reversal of 41463381918 is 81918336414.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41463381917) 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 63 ways as a sum of consecutive naturals, for example, 27845718 + ... + 27847206.

It is an arithmetic number, because the mean of its divisors is an integer number (771235920).

Almost surely, 241463381918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41463381918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49359098880).

41463381918 is an abundant number, since it is smaller than the sum of its proper divisors (57254815842).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41463381918 is a wasteful number, since it uses less digits than its factorization.

41463381918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802.

The product of its digits is 497664, while the sum is 48.

The spelling of 41463381918 in words is "forty-one billion, four hundred sixty-three million, three hundred eighty-one thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 14 21 41 42 82 103 123 157 206 246 287 309 314 471 574 618 721 861 942 1099 1442 1489 1722 2163 2198 2978 3297 4223 4326 4467 6437 6594 8446 8934 10423 12669 12874 16171 19311 20846 25338 29561 31269 32342 38622 45059 48513 59122 61049 62538 88683 90118 97026 113197 122098 135177 153367 177366 183147 226394 233773 270354 306734 339591 366294 427343 460101 467546 663011 679182 701319 854686 920202 1073569 1282029 1326022 1402638 1636411 1989033 2147138 2564058 3220707 3272822 3978066 4641077 4909233 6288047 6441414 9282154 9584693 9818466 12576094 13923231 18864141 19169386 24078619 27846462 28754079 37728282 44016329 48157238 57508158 67092851 72235857 88032658 132048987 134185702 144471714 168550333 201278553 264097974 337100666 402557106 505650999 987223379 1011301998 1974446758 2961670137 5923340274 6910563653 13821127306 20731690959 41463381918