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41823382104 = 23337197140411
BaseRepresentation
bin100110111100110111…
…100010101001011000
310222221202001221112000
4212330313202221120
51141123241211404
631114032121000
73010264611420
oct467467425130
9128852057460
1041823382104
1116812232aa9
128132696160
133c36a6b29a
14204a80d480
15114bb0d339
hex9bcde2a58

41823382104 has 128 divisors (see below), whose sum is σ = 133447564800. Its totient is φ = 11888795520.

The previous prime is 41823382093. The next prime is 41823382109. The reversal of 41823382104 is 40128332814.

It is a happy number.

41823382104 is a `hidden beast` number, since 418 + 23 + 3 + 8 + 210 + 4 = 666.

It is a super-3 number, since 3×418233821043 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41823382109) 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 31 ways as a sum of consecutive naturals, for example, 227659 + ... + 368069.

It is an arithmetic number, because the mean of its divisors is an integer number (1042559100).

Almost surely, 241823382104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41823382104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66723782400).

41823382104 is an abundant number, since it is smaller than the sum of its proper divisors (91624182696).

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

41823382104 is a wasteful number, since it uses less digits than its factorization.

41823382104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140630 (or 140620 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 41823382104 in words is "forty-one billion, eight hundred twenty-three million, three hundred eighty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 197 216 252 378 394 504 591 756 788 1182 1379 1512 1576 1773 2364 2758 3546 4137 4728 5319 5516 7092 8274 10638 11032 12411 14184 16548 21276 24822 33096 37233 42552 49644 74466 99288 140411 148932 280822 297864 421233 561644 842466 982877 1123288 1263699 1684932 1965754 2527398 2948631 3369864 3791097 3931508 5054796 5897262 7582194 7863016 8845893 10109592 11794524 15164388 17691786 23589048 26537679 27660967 30328776 35383572 53075358 55321934 70767144 82982901 106150716 110643868 165965802 193626769 212301432 221287736 248948703 331931604 387253538 497897406 580880307 663863208 746846109 774507076 995794812 1161760614 1493692218 1549014152 1742640921 1991589624 2323521228 2987384436 3485281842 4647042456 5227922763 5974768872 6970563684 10455845526 13941127368 20911691052 41823382104