Search a number
-
+
41819155644 = 223721728314783
BaseRepresentation
bin100110111100100111…
…011010110010111100
310222221110010012220110
4212330213122302330
51141121200440034
631113401350020
73010213646400
oct467447326274
9128843105813
1041819155644
111680a906662
128131198310
133c35c1b616
14204a02d100
15114b575de9
hex9bc9dacbc

41819155644 has 144 divisors (see below), whose sum is σ = 120618989568. Its totient is φ = 11204992512.

The previous prime is 41819155633. The next prime is 41819155673. The reversal of 41819155644 is 44655191814.

It is a junction number, because it is equal to n+sod(n) for n = 41819155593 and 41819155602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2821477 + ... + 2836259.

It is an arithmetic number, because the mean of its divisors is an integer number (837631872).

Almost surely, 241819155644 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 41819155644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60309494784).

41819155644 is an abundant number, since it is smaller than the sum of its proper divisors (78799833924).

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

41819155644 is a wasteful number, since it uses less digits than its factorization.

41819155644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15104 (or 15095 counting only the distinct ones).

The product of its digits is 691200, while the sum is 48.

The spelling of 41819155644 in words is "forty-one billion, eight hundred nineteen million, one hundred fifty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 283 294 357 476 566 588 714 833 849 1132 1428 1666 1698 1981 2499 3332 3396 3962 4811 4998 5943 7924 9622 9996 11886 13867 14433 14783 19244 23772 27734 28866 29566 33677 41601 44349 55468 57732 59132 67354 83202 88698 101031 103481 134708 166404 177396 202062 206962 235739 251311 310443 404124 413924 471478 502622 620886 707217 724367 753933 942956 1005244 1241772 1414434 1448734 1507866 1759177 2173101 2828868 2897468 3015732 3518354 4183589 4346202 5277531 7036708 8367178 8692404 10555062 12314239 12550767 16734356 21110124 24628478 25101534 29285123 36942717 49256956 50203068 58570246 71121013 73885434 87855369 117140492 142242026 147770868 175710738 204995861 213363039 284484052 351421476 409991722 426726078 497847091 614987583 819983444 853452156 995694182 1229975166 1493541273 1991388364 2459950332 2987082546 3484929637 5974165092 6969859274 10454788911 13939718548 20909577822 41819155644