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4424036216436 = 2232619720768953
BaseRepresentation
bin100000001100000110100…
…0110110110111001110100
3120122221012200122101020100
41000120031012312321310
51034440411232411221
613224212453434100
7634424512243644
oct100301506667164
916587180571210
104424036216436
111456250123151
125b54a893b930
132612530a3745
141141a5888524
157a12cb4a926
hex4060d1b6e74

4424036216436 has 72 divisors (see below), whose sum is σ = 11483486969864. Its totient is φ = 1435549962240.

The previous prime is 4424036216407. The next prime is 4424036216489. The reversal of 4424036216436 is 6346126304244.

4424036216436 is a `hidden beast` number, since 4 + 4 + 240 + 362 + 1 + 6 + 43 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 824645610000 + 3599390606436 = 908100^2 + 1897206^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4424036216391 and 4424036216400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10171465 + ... + 10597488.

Almost surely, 24424036216436 is an apocalyptic number.

It is an amenable number.

4424036216436 is an abundant number, since it is smaller than the sum of its proper divisors (7059450753428).

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

4424036216436 is a wasteful number, since it uses less digits than its factorization.

4424036216436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20769121 (or 20769116 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 4424036216436 in words is "four trillion, four hundred twenty-four billion, thirty-six million, two hundred sixteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 61 97 122 183 194 244 291 366 388 549 582 732 873 1098 1164 1746 2196 3492 5917 11834 17751 23668 35502 53253 71004 106506 213012 20768953 41537906 62306859 83075812 124613718 186920577 249227436 373841154 747682308 1266906133 2014588441 2533812266 3800718399 4029176882 5067624532 6043765323 7601436798 8058353764 11402155197 12087530646 15202873596 18131295969 22804310394 24175061292 36262591938 45608620788 72525183876 122889894901 245779789802 368669684703 491559579604 737339369406 1106009054109 1474678738812 2212018108218 4424036216436