Search a number
-
+
6005305336899 = 3112167334329633
BaseRepresentation
bin101011101100011100000…
…0101110110010001000011
3210021002202001110120221110
41113120320011312101003
51241342331131240044
620434444342454403
71156604031063531
oct127307005662103
923232661416843
106005305336899
111a05921339600
1280ba50734403
133473b45376bb
1416a930653151
15a6329b046b9
hex57638176443

6005305336899 has 48 divisors (see below), whose sum is σ = 8856812676096. Its totient is φ = 3616580858880.

The previous prime is 6005305336871. The next prime is 6005305336909. The reversal of 6005305336899 is 9986335035006.

It is not a de Polignac number, because 6005305336899 - 232 = 6001010369603 is a prime.

It is a super-2 number, since 2×60053053368992 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6005305331899) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202641187 + ... + 202670819.

It is an arithmetic number, because the mean of its divisors is an integer number (184516930752).

Almost surely, 26005305336899 is an apocalyptic number.

6005305336899 is a deficient number, since it is larger than the sum of its proper divisors (2851507339197).

6005305336899 is a wasteful number, since it uses less digits than its factorization.

6005305336899 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33168 (or 33157 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 57.

Multiplying 6005305336899 by its sum of digits (57), we get a palindrome (342302404203243).

The spelling of 6005305336899 in words is "six trillion, five billion, three hundred five million, three hundred thirty-six thousand, eight hundred ninety-nine".

Divisors: 1 3 11 33 121 167 363 501 1837 3343 5511 10029 20207 29633 36773 60621 88899 110319 325963 404503 558281 977889 1213509 1674843 3585593 4948711 6141091 10756779 14846133 18423273 54435821 67552001 99063119 163307463 202656003 297189357 598794031 1089694309 1796382093 3269082927 11986637399 16543540873 35959912197 49630622619 181978949603 545936848809 2001768445633 6005305336899