Search a number
-
+
41856133296 = 243171914991801
BaseRepresentation
bin100110111110110100…
…011110100010110000
311000001000200212201010
4212332310132202300
51141210132231141
631121202110520
73011143156065
oct467664364260
9130030625633
1041856133296
11168297724aa
12814164b440
133c407975a3
142050cd6c6c
15114e92c416
hex9bed1e8b0

41856133296 has 160 divisors (see below), whose sum is σ = 120661920000. Its totient is φ = 12425011200.

The previous prime is 41856133283. The next prime is 41856133303. The reversal of 41856133296 is 69233165814.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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, 23239596 + ... + 23241396.

It is an arithmetic number, because the mean of its divisors is an integer number (754137000).

Almost surely, 241856133296 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 41856133296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60330960000).

41856133296 is an abundant number, since it is smaller than the sum of its proper divisors (78805786704).

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

41856133296 is a wasteful number, since it uses less digits than its factorization.

41856133296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3341 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The spelling of 41856133296 in words is "forty-one billion, eight hundred fifty-six million, one hundred thirty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 816 912 969 1292 1499 1801 1938 2584 2998 3602 3876 4497 5168 5403 5996 7204 7752 8994 10806 11992 14408 15504 17988 21612 23984 25483 28481 28816 30617 34219 35976 43224 50966 56962 61234 68438 71952 76449 85443 86448 91851 101932 102657 113924 122468 136876 152898 170886 183702 203864 205314 227848 244936 273752 305796 341772 367404 407728 410628 455696 484177 489872 547504 581723 611592 683544 734808 821256 968354 1163446 1223184 1367088 1452531 1469616 1642512 1745169 1936708 2326892 2699699 2905062 3490338 3873416 4653784 5399398 5810124 6980676 7746832 8099097 9307568 10798796 11620248 13961352 16198194 21597592 23240496 27922704 32396388 43195184 45894883 51294281 64792776 91789766 102588562 129585552 137684649 153882843 183579532 205177124 275369298 307765686 367159064 410354248 550738596 615531372 734318128 820708496 872002777 1101477192 1231062744 1744005554 2202954384 2462125488 2616008331 3488011108 5232016662 6976022216 10464033324 13952044432 20928066648 41856133296