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10948989688 = 2371349130631
BaseRepresentation
bin10100011001001110…
…00101001011111000
31001021001110022020121
422030213011023320
5134410420132223
65010242503024
7535216606510
oct121447051370
931231408217
1010948989688
11470946800a
122156964a74
1310564a7430
1475c1d2840
1544136515d
hex28c9c52f8

10948989688 has 64 divisors (see below), whose sum is σ = 25319185920. Its totient is φ = 4322505600.

The previous prime is 10948989677. The next prime is 10948989697. The reversal of 10948989688 is 88698984901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342133 + ... + 372763.

It is an arithmetic number, because the mean of its divisors is an integer number (395612280).

Almost surely, 210948989688 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 10948989688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12659592960).

10948989688 is an abundant number, since it is smaller than the sum of its proper divisors (14370196232).

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

10948989688 is a wasteful number, since it uses less digits than its factorization.

10948989688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31148 (or 31144 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 70.

The spelling of 10948989688 in words is "ten billion, nine hundred forty-eight million, nine hundred eighty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 491 728 982 1964 3437 3928 6383 6874 12766 13748 25532 27496 30631 44681 51064 61262 89362 122524 178724 214417 245048 357448 398203 428834 796406 857668 1592812 1715336 2787421 3185624 5574842 11149684 15039821 22299368 30079642 60159284 105278747 120318568 195517673 210557494 391035346 421114988 782070692 842229976 1368623711 1564141384 2737247422 5474494844 10948989688