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2143505824 = 25196475449
BaseRepresentation
bin111111111000011…
…0100110110100000
312112101101101012121
41333300310312200
513342214141244
6552410434024
7104055333055
oct17760646640
95471341177
102143505824
119aaa53719
124b9a32914
13282111355
1416497302c
15c82acc84
hex7fc34da0

2143505824 has 48 divisors (see below), whose sum is σ = 4449816000. Its totient is φ = 1013589504.

The previous prime is 2143505773. The next prime is 2143505827. The reversal of 2143505824 is 4285053412.

It is a self number, because there is not a number n which added to its sum of digits gives 2143505824.

It is not an unprimeable number, because it can be changed into a prime (2143505827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390652 + ... + 396100.

It is an arithmetic number, because the mean of its divisors is an integer number (92704500).

Almost surely, 22143505824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143505824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224908000).

2143505824 is an abundant number, since it is smaller than the sum of its proper divisors (2306310176).

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

2143505824 is a wasteful number, since it uses less digits than its factorization.

2143505824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6125 (or 6117 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 2143505824 is about 46298.0110155933. The cubic root of 2143505824 is about 1289.3620674504.

The spelling of 2143505824 in words is "two billion, one hundred forty-three million, five hundred five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 647 1294 2588 5176 5449 10352 10898 12293 20704 21796 24586 43592 49172 87184 98344 103531 174368 196688 207062 393376 414124 828248 1656496 3312992 3525503 7051006 14102012 28204024 56408048 66984557 112816096 133969114 267938228 535876456 1071752912 2143505824