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2117822144 = 2639118461
BaseRepresentation
bin111111000111011…
…0110011011000000
312110121001111211012
41332032312123000
513314130302034
6550052140052
7103324122404
oct17616663300
95417044735
102117822144
11997501139
124b1307628
132799babc9
141613a9104
15c5dd7cce
hex7e3b66c0

2117822144 has 28 divisors (see below), whose sum is σ = 4204124688. Its totient is φ = 1058515200.

The previous prime is 2117822131. The next prime is 2117822153. The reversal of 2117822144 is 4412287112.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2117822144.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 246074 + ... + 254534.

Almost surely, 22117822144 is an apocalyptic number.

It is an amenable number.

2117822144 is a deficient number, since it is larger than the sum of its proper divisors (2086302544).

2117822144 is an equidigital number, since it uses as much as digits as its factorization.

2117822144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12384 (or 12374 counting only the distinct ones).

The product of its digits is 7168, while the sum is 32.

The square root of 2117822144 is about 46019.8016510284. The cubic root of 2117822144 is about 1284.1916103316.

The spelling of 2117822144 in words is "two billion, one hundred seventeen million, eight hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 3911 7822 8461 15644 16922 31288 33844 62576 67688 125152 135376 250304 270752 541504 33090971 66181942 132363884 264727768 529455536 1058911072 2117822144