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8268913044 = 22327714191103
BaseRepresentation
bin1111011001101110…
…11001100110010100
3210100021102022020200
413230313121212110
5113413320204134
63444303300500
7411624413130
oct75467314624
923307368220
108268913044
113563649837
1217292aa730
13a1a178272
145862a83c0
15335e18499
hex1ecdd9994

8268913044 has 144 divisors (see below), whose sum is σ = 24304250880. Its totient is φ = 2321605440.

The previous prime is 8268913039. The next prime is 8268913109. The reversal of 8268913044 is 4403198628.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 7496197 + ... + 7497299.

It is an arithmetic number, because the mean of its divisors is an integer number (168779520).

Almost surely, 28268913044 is an apocalyptic number.

8268913044 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8268913044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12152125440).

8268913044 is an abundant number, since it is smaller than the sum of its proper divisors (16035337836).

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

8268913044 is a wasteful number, since it uses less digits than its factorization.

8268913044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8268913044 is about 90933.5639024447. The cubic root of 8268913044 is about 2022.1629157242.

The spelling of 8268913044 in words is "eight billion, two hundred sixty-eight million, nine hundred thirteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 419 426 497 639 838 852 994 1103 1257 1278 1491 1676 1988 2206 2514 2556 2933 2982 3309 3771 4412 4473 5028 5866 5964 6618 7542 7721 8799 8946 9927 11732 13236 15084 15442 17598 17892 19854 23163 26397 29749 30884 35196 39708 46326 52794 59498 69489 78313 89247 92652 105588 118996 138978 156626 178494 208243 234939 267741 277956 313252 356988 416486 462157 469878 535482 548191 624729 704817 832972 924314 939756 1070964 1096382 1249458 1386471 1409634 1644573 1848628 1874187 2192764 2498916 2772942 2819268 3235099 3289146 3748374 4159413 4933719 5545884 6470198 6578292 7496748 8318826 9705297 9867438 12940396 16637652 19410594 19734876 29115891 32813147 38821188 58231782 65626294 98439441 116463564 131252588 196878882 229692029 295318323 393757764 459384058 590636646 689076087 918768116 1181273292 1378152174 2067228261 2756304348 4134456522 8268913044