Search a number
-
+
500005505307 = 371141973671483
BaseRepresentation
bin1110100011010101010…
…01101000100100011011
31202210121020120102002210
413101222221220210123
531143002402132212
61021411021130203
751060413445660
oct7215251504433
91683536512083
10500005505307
11183062088740
1280aa29b9963
13381c5327859
141a2b3c57a67
15d01636e53c
hex746aa6891b

500005505307 has 128 divisors (see below), whose sum is σ = 863154044928. Its totient is φ = 249943449600.

The previous prime is 500005505303. The next prime is 500005505327. The reversal of 500005505307 is 703505500005.

It is not a de Polignac number, because 500005505307 - 22 = 500005505303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (500005505303) 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 127 ways as a sum of consecutive naturals, for example, 337157388 + ... + 337158870.

It is an arithmetic number, because the mean of its divisors is an integer number (6743390976).

Almost surely, 2500005505307 is an apocalyptic number.

500005505307 is a deficient number, since it is larger than the sum of its proper divisors (363148539621).

500005505307 is a wasteful number, since it uses less digits than its factorization.

500005505307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009.

The product of its (nonzero) digits is 13125, while the sum is 30.

The spelling of 500005505307 in words is "five hundred billion, five million, five hundred five thousand, three hundred seven".

Divisors: 1 3 7 11 21 33 41 77 97 123 231 287 291 367 451 679 861 1067 1101 1353 1483 2037 2569 3157 3201 3977 4037 4449 7469 7707 9471 10381 11931 12111 15047 16313 22407 27839 28259 31143 35599 43747 45141 48939 60803 83517 84777 105329 106797 114191 131241 143851 165517 182409 249193 306229 315987 342573 391589 425621 431553 496551 544261 668833 747579 918687 1006957 1158619 1174767 1276863 1459559 1582361 1632783 2006499 2741123 3020871 3475857 3809827 4378677 4681831 4747083 5897891 5986871 8223369 10216913 11076527 11429481 14045493 16055149 17693673 17960613 22314701 30650739 33229581 41285237 41908097 48165447 52793317 64876801 66944103 112386043 123855711 125724291 156202907 158379951 194630403 245461711 337158129 369553219 454137607 468608721 580726487 736385133 1108659657 1362412821 1718231977 1742179461 2164525997 4065085409 5154695931 6493577991 12195256227 15151681979 23809785967 45455045937 71429357901 166668501769 500005505307