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2099712096 = 25327579631
BaseRepresentation
bin111110100100111…
…0001000001100000
312102022222102111200
41331021301001200
513300011241341
6544204041200
7103014154416
oct17511610140
95368872450
102099712096
11988261859
124a7233200
13276019ac1
1415cc132b6
15c450bdb6
hex7d271060

2099712096 has 72 divisors (see below), whose sum is σ = 5979564864. Its totient is φ = 698906880.

The previous prime is 2099712061. The next prime is 2099712101. The reversal of 2099712096 is 6902179902.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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, 213201 + ... + 222831.

It is an arithmetic number, because the mean of its divisors is an integer number (83049512).

Almost surely, 22099712096 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 2099712096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989782432).

2099712096 is an abundant number, since it is smaller than the sum of its proper divisors (3879852768).

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

2099712096 is a wasteful number, since it uses less digits than its factorization.

2099712096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10404 (or 10393 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 2099712096 is about 45822.6155517120. The cubic root of 2099712096 is about 1280.5206410647.

The spelling of 2099712096 in words is "two billion, ninety-nine million, seven hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 757 1514 2271 3028 4542 6056 6813 9084 9631 12112 13626 18168 19262 24224 27252 28893 36336 38524 54504 57786 72672 77048 86679 109008 115572 154096 173358 218016 231144 308192 346716 462288 693432 924576 1386864 2773728 7290667 14581334 21872001 29162668 43744002 58325336 65616003 87488004 116650672 131232006 174976008 233301344 262464012 349952016 524928024 699904032 1049856048 2099712096