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41949593793 = 3329318112131
BaseRepresentation
bin100111000100011001…
…000000000011000001
311000021112120011102000
4213010121000003001
51141403044000133
631134341214213
73013356443502
oct470431000301
9130245504360
1041949593793
11168774a7788
128168a01369
133c56c5b663
14205d4a4ba9
151157c3e413
hex9c46400c1

41949593793 has 64 divisors (see below), whose sum is σ = 66477465600. Its totient is φ = 26086536000.

The previous prime is 41949593761. The next prime is 41949593797. The reversal of 41949593793 is 39739594914.

41949593793 is a `hidden beast` number, since 419 + 49 + 5 + 93 + 7 + 93 = 666.

It is not a de Polignac number, because 41949593793 - 25 = 41949593761 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41949593793.

It is not an unprimeable number, because it can be changed into a prime (41949593797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19684338 + ... + 19686468.

It is an arithmetic number, because the mean of its divisors is an integer number (1038710400).

Almost surely, 241949593793 is an apocalyptic number.

It is an amenable number.

41949593793 is a deficient number, since it is larger than the sum of its proper divisors (24527871807).

41949593793 is a wasteful number, since it uses less digits than its factorization.

41949593793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 3005 counting only the distinct ones).

The product of its digits is 33067440, while the sum is 63.

Adding to 41949593793 its sum of digits (63), we get a square (41949593856 = 2048162).

The spelling of 41949593793 in words is "forty-one billion, nine hundred forty-nine million, five hundred ninety-three thousand, seven hundred ninety-three".

Divisors: 1 3 9 27 29 31 87 93 261 279 783 811 837 899 2131 2433 2697 6393 7299 8091 19179 21897 23519 24273 25141 57537 61799 66061 70557 75423 185397 198183 211671 226269 556191 594549 635013 678807 729089 1668573 1728241 1783647 1915769 2187267 5184723 5747307 6561801 15554169 17241921 19685403 46662507 50118989 51725763 53575471 150356967 160726413 451070901 482179239 1353212703 1446537717 1553688659 4661065977 13983197931 41949593793