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10827454248 = 2333138346457
BaseRepresentation
bin10100001010101110…
…11101011100101000
31000221120202122222000
422011113131130220
5134133312013443
64550221531000
7532212562002
oct120527353450
930846678860
1010827454248
1146568a76a6
122122113a60
131037263680
14749dd7372
154358598d3
hex2855dd728

10827454248 has 128 divisors (see below), whose sum is σ = 32780764800. Its totient is φ = 3291314688.

The previous prime is 10827454229. The next prime is 10827454271. The reversal of 10827454248 is 84245472801.

10827454248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 209836 + ... + 256292.

It is an arithmetic number, because the mean of its divisors is an integer number (256099725).

Almost surely, 210827454248 is an apocalyptic number.

10827454248 is a gapful number since it is divisible by the number (18) 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 10827454248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16390382400).

10827454248 is an abundant number, since it is smaller than the sum of its proper divisors (21953310552).

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

10827454248 is a wasteful number, since it uses less digits than its factorization.

10827454248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46568 (or 46558 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 10827454248 in words is "ten billion, eight hundred twenty-seven million, four hundred fifty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 83 104 108 117 156 166 216 234 249 312 332 351 468 498 664 702 747 936 996 1079 1404 1494 1992 2158 2241 2808 2988 3237 4316 4482 5976 6474 8632 8964 9711 12948 17928 19422 25896 29133 38844 46457 58266 77688 92914 116532 139371 185828 233064 278742 371656 418113 557484 603941 836226 1114968 1207882 1254339 1672452 1811823 2415764 2508678 3344904 3623646 3855931 4831528 5017356 5435469 7247292 7711862 10034712 10870938 11567793 14494584 15423724 16306407 21741876 23135586 30847448 32612814 34703379 43483752 46271172 50127103 65225628 69406758 92542344 100254206 104110137 130451256 138813516 150381309 200508412 208220274 277627032 300762618 401016824 416440548 451143927 601525236 832881096 902287854 1203050472 1353431781 1804575708 2706863562 3609151416 5413727124 10827454248