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10738427976 = 23321912772819
BaseRepresentation
bin10100000000000111…
…10110100001001000
31000201101020122212200
422000003312201020
5133443014143401
64533321440200
7530052063123
oct120003664110
930641218780
1010738427976
114610620971
1220b8340060
1310219929c3
1473c2613ba
1542cb21686
hex2800f6848

10738427976 has 96 divisors (see below), whose sum is σ = 29351462400. Its totient is φ = 3546622080.

The previous prime is 10738427963. The next prime is 10738428007. The reversal of 10738427976 is 67972483701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3807895 + ... + 3810713.

It is an arithmetic number, because the mean of its divisors is an integer number (305744400).

Almost surely, 210738427976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10738427976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14675731200).

10738427976 is an abundant number, since it is smaller than the sum of its proper divisors (18613034424).

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

10738427976 is a wasteful number, since it uses less digits than its factorization.

10738427976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 10738427976 in words is "ten billion, seven hundred thirty-eight million, four hundred twenty-seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 191 277 382 554 573 764 831 1108 1146 1528 1662 1719 2216 2292 2493 2819 3324 3438 4584 4986 5638 6648 6876 8457 9972 11276 13752 16914 19944 22552 25371 33828 50742 52907 67656 101484 105814 158721 202968 211628 317442 423256 476163 538429 634884 780863 952326 1076858 1269768 1561726 1615287 1904652 2153716 2342589 3123452 3230574 3809304 4307432 4685178 4845861 6246904 6461148 7027767 9370356 9691722 12922296 14055534 18740712 19383444 28111068 38766888 56222136 149144833 298289666 447434499 596579332 894868998 1193158664 1342303497 1789737996 2684606994 3579475992 5369213988 10738427976