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10806910848 = 273230730557
BaseRepresentation
bin10100001000010010…
…00101111110000000
31000220011002221201100
422010021011332000
5134113032121343
64544205334400
7531543140466
oct120411057600
930804087640
1010806910848
114646246088
122117267400
131032c1cb06
147473aa836
15433b4c9d3
hex284245f80

10806910848 has 96 divisors (see below), whose sum is σ = 31200329160. Its totient is φ = 3590452224.

The previous prime is 10806910843. The next prime is 10806910867. The reversal of 10806910848 is 84801960801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10806910843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338386 + ... + 368942.

Almost surely, 210806910848 is an apocalyptic number.

10806910848 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 10806910848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15600164580).

10806910848 is an abundant number, since it is smaller than the sum of its proper divisors (20393418312).

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

10806910848 is a wasteful number, since it uses less digits than its factorization.

10806910848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30884 (or 30869 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 10806910848 in words is "ten billion, eight hundred six million, nine hundred ten thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 307 384 576 614 921 1152 1228 1842 2456 2763 3684 4912 5526 7368 9824 11052 14736 19648 22104 29472 30557 39296 44208 58944 61114 88416 91671 117888 122228 176832 183342 244456 275013 353664 366684 488912 550026 733368 977824 1100052 1466736 1955648 2200104 2933472 3911296 4400208 5866944 8800416 9380999 11733888 17600832 18761998 28142997 35201664 37523996 56285994 75047992 84428991 112571988 150095984 168857982 225143976 300191968 337715964 450287952 600383936 675431928 900575904 1200767872 1350863856 1801151808 2701727712 3602303616 5403455424 10806910848