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2200109996628 = 22323171129170761
BaseRepresentation
bin100000000001000000110…
…001100101101001010100
321210022212110002221110200
4200001000301211221110
5242021311124343003
64402414440420500
7314644530260655
oct40010061455124
97708773087420
102200109996628
11779074811095
122b6490477730
1312c6145b71bb
14786b340552c
153c36ae2d6a3
hex20040c65a54

2200109996628 has 72 divisors (see below), whose sum is σ = 5583907154280. Its totient is φ = 730404725760.

The previous prime is 2200109996627. The next prime is 2200109996737. The reversal of 2200109996628 is 8266999010022.

It is a happy number.

2200109996628 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 1 + 0 + 9 + 9 + 9 + 6 + 628 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37145623824 + 2162964372804 = 192732^2 + 1470702^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200109996627) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12798768 + ... + 12969528.

Almost surely, 22200109996628 is an apocalyptic number.

It is an amenable number.

2200109996628 is an abundant number, since it is smaller than the sum of its proper divisors (3383797157652).

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

2200109996628 is a wasteful number, since it uses less digits than its factorization.

2200109996628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172217 (or 172212 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 2200109996628 in words is "two trillion, two hundred billion, one hundred nine million, nine hundred ninety-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 317 634 951 1129 1268 1902 2258 2853 3387 3804 4516 5706 6774 10161 11412 13548 20322 40644 170761 341522 357893 512283 683044 715786 1024566 1073679 1431572 1536849 2049132 2147358 3073698 3221037 4294716 6147396 6442074 12884148 54131237 108262474 162393711 192789169 216524948 324787422 385578338 487181133 578367507 649574844 771156676 974362266 1156735014 1735102521 1948724532 2313470028 3470205042 6940410084 61114166573 122228333146 183342499719 244456666292 366684999438 550027499157 733369998876 1100054998314 2200109996628