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2040168744 = 233230619257
BaseRepresentation
bin111100110011010…
…1000000100101000
312021011221022101100
41321212220010220
513134240344434
6534235521400
7101362101555
oct17146500450
95234838340
102040168744
11957692a79
1248b2b9260
1326689c953
14154d53a2c
15be199699
hex799a8128

2040168744 has 48 divisors (see below), whose sum is σ = 5527859220. Its totient is φ = 679760640.

The previous prime is 2040168707. The next prime is 2040168751. The reversal of 2040168744 is 4478610402.

It can be written as a sum of positive squares in 2 ways, for example, as 2039606244 + 562500 = 45162^2 + 750^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2040168699 and 2040168708.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 215764 + ... + 225020.

Almost surely, 22040168744 is an apocalyptic number.

2040168744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2040168744 is an abundant number, since it is smaller than the sum of its proper divisors (3487690476).

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

2040168744 is a wasteful number, since it uses less digits than its factorization.

2040168744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12330 (or 12323 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2040168744 is about 45168.2271513948. The cubic root of 2040168744 is about 1268.3001094156.

The spelling of 2040168744 in words is "two billion, forty million, one hundred sixty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3061 6122 9183 9257 12244 18366 18514 24488 27549 27771 36732 37028 55098 55542 73464 74056 83313 110196 111084 166626 220392 222168 333252 666504 28335677 56671354 85007031 113342708 170014062 226685416 255021093 340028124 510042186 680056248 1020084372 2040168744