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2099972736 = 273317311153
BaseRepresentation
bin111110100101011…
…0000101010000000
312102100110200001000
41331022300222000
513300043111421
6544213412000
7103016321331
oct17512605200
95370420030
102099972736
1198841a664
124a733a000
132760ab624
1415cc80288
15c455e226
hex7d2b0a80

2099972736 has 256 divisors, whose sum is σ = 6779980800. Its totient is φ = 637009920.

The previous prime is 2099972717. The next prime is 2099972789. The reversal of 2099972736 is 6372799902.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 1820736 + ... + 1821888.

It is an arithmetic number, because the mean of its divisors is an integer number (26484300).

Almost surely, 22099972736 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 2099972736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389990400).

2099972736 is an abundant number, since it is smaller than the sum of its proper divisors (4680008064).

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

2099972736 is a wasteful number, since it uses less digits than its factorization.

2099972736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 2099972736 is about 45825.4594739649. The cubic root of 2099972736 is about 1280.5736231047.

The spelling of 2099972736 in words is "two billion, ninety-nine million, nine hundred seventy-two thousand, seven hundred thirty-six".