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10785806048 = 25598964189
BaseRepresentation
bin10100000101110001…
…00101011011100000
31000211200101201101002
422002320211123200
5134042131243143
64542133131132
7531165560453
oct120270453340
930750351332
1010785806048
1146353407a6
122110189aa8
13102b740874
1474467549a
15431d7e5b8
hex282e256e0

10785806048 has 48 divisors (see below), whose sum is σ = 21837438000. Its totient is φ = 5241848832.

The previous prime is 10785806023. The next prime is 10785806051. The reversal of 10785806048 is 84060858701.

It is a happy number.

It is a super-2 number, since 2×107858060482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10785805993 and 10785806011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135938 + ... + 200126.

It is an arithmetic number, because the mean of its divisors is an integer number (454946625).

Almost surely, 210785806048 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 10785806048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10918719000).

10785806048 is an abundant number, since it is smaller than the sum of its proper divisors (11051631952).

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

10785806048 is an equidigital number, since it uses as much as digits as its factorization.

10785806048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64347 (or 64339 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 47.

The spelling of 10785806048 in words is "ten billion, seven hundred eighty-five million, eight hundred six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 59 89 118 178 236 356 472 712 944 1424 1888 2848 5251 10502 21004 42008 64189 84016 128378 168032 256756 513512 1027024 2054048 3787151 5712821 7574302 11425642 15148604 22851284 30297208 45702568 60594416 91405136 121188832 182810272 337056439 674112878 1348225756 2696451512 5392903024 10785806048