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2118583840 = 25553249833
BaseRepresentation
bin111111001000111…
…0000011000100000
312110122111012200011
41332101300120200
513314324140330
6550120334304
7103333444162
oct17621603040
95418435604
102118583840
1199798143a
124b1614394
13279bc6809
14161526932
15c5ed882a
hex7e470620

2118583840 has 48 divisors (see below), whose sum is σ = 5099611608. Its totient is φ = 831440896.

The previous prime is 2118583811. The next prime is 2118583853. The reversal of 2118583840 is 483858112.

It can be written as a sum of positive squares in 4 ways, for example, as 1523809296 + 594774544 = 39036^2 + 24388^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2118583793 and 2118583802.

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 7 ways as a sum of consecutive naturals, for example, 116437 + ... + 133396.

Almost surely, 22118583840 is an apocalyptic number.

2118583840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2118583840 is an abundant number, since it is smaller than the sum of its proper divisors (2981027768).

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

2118583840 is a wasteful number, since it uses less digits than its factorization.

2118583840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249901 (or 249893 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 2118583840 is about 46028.0766489324. The cubic root of 2118583840 is about 1284.3455493471.

The spelling of 2118583840 in words is "two billion, one hundred eighteen million, five hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 8480 249833 499666 999332 1249165 1998664 2498330 3997328 4996660 7994656 9993320 13241149 19986640 26482298 39973280 52964596 66205745 105929192 132411490 211858384 264822980 423716768 529645960 1059291920 2118583840