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2013368805 = 34575912037
BaseRepresentation
bin111100000000001…
…1001000111100101
312012022111201210000
41320000121013211
513110410300210
6531441251513
7100615231620
oct17000310745
95168451700
102013368805
11943548868
12482333b99
132611783b6
14151578db7
15bbb53ac0
hex780191e5

2013368805 has 80 divisors (see below), whose sum is σ = 4195002240. Its totient is φ = 904722048.

The previous prime is 2013368783. The next prime is 2013368807. The reversal of 2013368805 is 5088633102.

It is not a de Polignac number, because 2013368805 - 26 = 2013368741 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2013368805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013368807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 161247 + ... + 173283.

It is an arithmetic number, because the mean of its divisors is an integer number (52437528).

Almost surely, 22013368805 is an apocalyptic number.

It is an amenable number.

2013368805 is an abundant number, since it is smaller than the sum of its proper divisors (2181633435).

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

2013368805 is a wasteful number, since it uses less digits than its factorization.

2013368805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12120 (or 12111 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2013368805 is about 44870.5783894079. The cubic root of 2013368805 is about 1262.7220911775.

The spelling of 2013368805 in words is "two billion, thirteen million, three hundred sixty-eight thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 59 63 81 105 135 177 189 295 315 405 413 531 567 885 945 1239 1593 2065 2655 2835 3717 4779 6195 7965 11151 12037 18585 23895 33453 36111 55755 60185 84259 108333 167265 180555 252777 324999 421295 541665 710183 758331 974997 1263885 1624995 2130549 2274993 3550915 3791655 4874985 4971281 6391647 6824979 10652745 11374965 14913843 19174941 24856405 31958235 34124895 44741529 57524823 74569215 95874705 134224587 223707645 287624115 402673761 671122935 2013368805