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20627278884 = 22347921012
BaseRepresentation
bin10011001101011110…
…110100110000100100
31222020112212100010000
4103031132310300210
5314221040411014
613250454101300
71330106656212
oct231536646044
958215770100
1020627278884
118825619a23
123bb804a830
131c39634a84
14dd972dcb2
1580ad76509
hex4cd7b4c24

20627278884 has 135 divisors (see below), whose sum is σ = 55161097761. Its totient is φ = 6721509600.

The previous prime is 20627278879. The next prime is 20627278901. The reversal of 20627278884 is 48887272602.

The square root of 20627278884 is 143622.

It is a perfect power (a square), and thus also a powerful number.

20627278884 is a `hidden beast` number, since 2 + 0 + 627 + 2 + 7 + 8 + 8 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19818445284 + 808833600 = 140778^2 + 28440^2 .

It is a super-3 number, since 3×206272788843 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20627278884.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 204230434 + ... + 204230534.

Almost surely, 220627278884 is an apocalyptic number.

20627278884 is the 143622-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20627278884

20627278884 is an abundant number, since it is smaller than the sum of its proper divisors (34533818877).

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

20627278884 is an equidigital number, since it uses as much as digits as its factorization.

20627278884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

It can be divided in two parts, 206272 and 78884, that added together give a square (285156 = 5342).

The spelling of 20627278884 in words is "twenty billion, six hundred twenty-seven million, two hundred seventy-eight thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 101 108 158 162 202 237 303 316 324 404 474 606 711 909 948 1212 1422 1818 2133 2727 2844 3636 4266 5454 6241 6399 7979 8181 8532 10201 10908 12482 12798 15958 16362 18723 20402 23937 24964 25596 30603 31916 32724 37446 40804 47874 56169 61206 71811 74892 91809 95748 112338 122412 143622 168507 183618 215433 224676 275427 287244 337014 367236 430866 505521 550854 630341 646299 674028 805879 826281 861732 1011042 1101708 1260682 1292598 1611758 1652562 1891023 2022084 2417637 2521364 2585196 3223516 3305124 3782046 4835274 5673069 7252911 7564092 9670548 11346138 14505822 17019207 21758733 22692276 29011644 34038414 43517466 51057621 63664441 65276199 68076828 87034932 102115242 127328882 130552398 190993323 204230484 254657764 261104796 381986646 572979969 763973292 1145959938 1718939907 2291919876 3437879814 5156819721 6875759628 10313639442 20627278884