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2099228749344 = 253216743646639
BaseRepresentation
bin11110100011000011110…
…010001010111000100000
321102200110212020121012200
4132203003302022320200
5233343210024434334
64244212233253200
7304443562646256
oct36430362127040
97380425217180
102099228749344
1173a3069a1951
1229aa17564200
13122c5834887c
147386330a5d6
153991466d799
hex1e8c3c8ae20

2099228749344 has 72 divisors (see below), whose sum is σ = 6005428490880. Its totient is φ = 695552823168.

The previous prime is 2099228749339. The next prime is 2099228749349. The reversal of 2099228749344 is 4439478229902.

2099228749344 is a `hidden beast` number, since 2 + 0 + 9 + 9 + 2 + 287 + 4 + 9 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (2099228749339) and next prime (2099228749349).

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

It is a super-2 number, since 2×20992287493442 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2099228749349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21775224 + ... + 21871415.

It is an arithmetic number, because the mean of its divisors is an integer number (83408729040).

Almost surely, 22099228749344 is an apocalyptic number.

2099228749344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2099228749344 is an abundant number, since it is smaller than the sum of its proper divisors (3906199741536).

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

2099228749344 is a wasteful number, since it uses less digits than its factorization.

2099228749344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43646822 (or 43646811 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 2099228749344 in words is "two trillion, ninety-nine billion, two hundred twenty-eight million, seven hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 167 288 334 501 668 1002 1336 1503 2004 2672 3006 4008 5344 6012 8016 12024 16032 24048 48096 43646639 87293278 130939917 174586556 261879834 349173112 392819751 523759668 698346224 785639502 1047519336 1396692448 1571279004 2095038672 3142558008 4190077344 6285116016 7288988713 12570232032 14577977426 21866966139 29155954852 43733932278 58311909704 65600898417 87467864556 116623819408 131201796834 174935729112 233247638816 262403593668 349871458224 524807187336 699742916448 1049614374672 2099228749344