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2141801568 = 25332478937
BaseRepresentation
bin111111110101001…
…0100110001100000
312112021011210102000
41333222110301200
513341300122233
6552310124000
7104035004304
oct17752246140
95467153360
102141801568
119a9a9a245
124b9350600
1328196570a
1416464bd04
15c8072d13
hex7fa94c60

2141801568 has 48 divisors (see below), whose sum is σ = 6246923760. Its totient is φ = 713933568.

The previous prime is 2141801537. The next prime is 2141801621. The reversal of 2141801568 is 8651081412.

2141801568 is a `hidden beast` number, since 2 + 14 + 1 + 80 + 1 + 568 = 666.

2141801568 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1238605 + ... + 1240332.

It is an arithmetic number, because the mean of its divisors is an integer number (130144245).

Almost surely, 22141801568 is an apocalyptic number.

It is an amenable number.

2141801568 is an abundant number, since it is smaller than the sum of its proper divisors (4105122192).

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

2141801568 is a wasteful number, since it uses less digits than its factorization.

2141801568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478956 (or 2478942 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 2141801568 is about 46279.6020726194. The cubic root of 2141801568 is about 1289.0202620395.

The spelling of 2141801568 in words is "two billion, one hundred forty-one million, eight hundred one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2478937 4957874 7436811 9915748 14873622 19831496 22310433 29747244 39662992 44620866 59494488 66931299 79325984 89241732 118988976 133862598 178483464 237977952 267725196 356966928 535450392 713933856 1070900784 2141801568