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2755687638 = 2311223792089
BaseRepresentation
bin1010010001000000…
…0111010011010110
321010001022102210010
42210100013103112
521120424001023
61133235541050
7125200646514
oct24420072326
97101272703
102755687638
111194571a00
1264aa5a786
1334bbb3902
141c1dab4b4
15111dd5093
hexa44074d6

2755687638 has 96 divisors (see below), whose sum is σ = 6404428800. Its totient is φ = 788261760.

The previous prime is 2755687631. The next prime is 2755687651. The reversal of 2755687638 is 8367865572.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755687631) 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 47 ways as a sum of consecutive naturals, for example, 1318098 + ... + 1320186.

It is an arithmetic number, because the mean of its divisors is an integer number (66712800).

Almost surely, 22755687638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2755687638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202214400).

2755687638 is an abundant number, since it is smaller than the sum of its proper divisors (3648741162).

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

2755687638 is a wasteful number, since it uses less digits than its factorization.

2755687638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2207 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 57.

The square root of 2755687638 is about 52494.6438982112. The cubic root of 2755687638 is about 1401.9848781067.

The spelling of 2755687638 in words is "two billion, seven hundred fifty-five million, six hundred eighty-seven thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 79 121 138 158 237 242 253 363 474 506 726 759 869 1518 1738 1817 2089 2607 2783 3634 4178 5214 5451 5566 6267 8349 9559 10902 12534 16698 19118 19987 22979 28677 39974 45958 48047 57354 59961 68937 96094 119922 137874 144141 165031 219857 252769 288282 330062 439714 495093 505538 528517 659571 758307 990186 1057034 1319142 1516614 1585551 1815341 3171102 3630682 3795713 5446023 5813687 7591426 10892046 11387139 11627374 17441061 19968751 22774278 34882122 39937502 41752843 59906253 83505686 119812506 125258529 250517058 459281273 918562546 1377843819 2755687638