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10385647688 = 2313718231709
BaseRepresentation
bin10011010110000100…
…00110100001001000
3222210210102120022002
421223002012201020
5132232211211223
64434320250132
7515236356143
oct115302064110
928723376262
1010385647688
11444a477909
12201a170948
13c96875180
1470746d05a
1540bb88e28
hex26b086848

10385647688 has 64 divisors (see below), whose sum is σ = 21304684800. Its totient is φ = 4717359360.

The previous prime is 10385647681. The next prime is 10385647691. The reversal of 10385647688 is 88674658301.

It is not an unprimeable number, because it can be changed into a prime (10385647681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6076178 + ... + 6077886.

It is an arithmetic number, because the mean of its divisors is an integer number (332885700).

Almost surely, 210385647688 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 10385647688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10652342400).

10385647688 is an abundant number, since it is smaller than the sum of its proper divisors (10919037112).

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

10385647688 is a wasteful number, since it uses less digits than its factorization.

10385647688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 56.

The spelling of 10385647688 in words is "ten billion, three hundred eighty-five million, six hundred forty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 26 52 71 104 142 284 568 823 923 1646 1709 1846 3292 3418 3692 6584 6836 7384 10699 13672 21398 22217 42796 44434 58433 85592 88868 116866 121339 177736 233732 242678 467464 485356 759629 970712 1406507 1519258 1577407 2813014 3038516 3154814 5626028 6077032 6309628 11252056 12619256 18284591 36569182 73138364 99861997 146276728 199723994 399447988 798895976 1298205961 2596411922 5192823844 10385647688