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10708298656 = 251124167453
BaseRepresentation
bin10011111100100001…
…11010101110100000
31000122021112221012221
421332100322232200
5133412311024111
64530324000424
7526235015416
oct117620725640
930567487187
1010708298656
1145a5612300
1220aa230114
131018673bc3
1473825b2b6
1542a16e371
hex27e43aba0

10708298656 has 72 divisors (see below), whose sum is σ = 23738276772. Its totient is φ = 4748620800.

The previous prime is 10708298639. The next prime is 10708298677. The reversal of 10708298656 is 65689280701.

10708298656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7659050256 + 3049248400 = 87516^2 + 55220^2 .

It is a super-2 number, since 2×107082986562 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125026 + ... + 192478.

Almost surely, 210708298656 is an apocalyptic number.

10708298656 is a gapful number since it is divisible by the number (16) 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 10708298656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11869138386).

10708298656 is an abundant number, since it is smaller than the sum of its proper divisors (13029978116).

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

10708298656 is a wasteful number, since it uses less digits than its factorization.

10708298656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67526 (or 67507 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 10708298656 in words is "ten billion, seven hundred eight million, two hundred ninety-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 121 164 176 242 328 352 451 484 656 902 968 1312 1804 1936 3608 3872 4961 7216 9922 14432 19844 39688 67453 79376 134906 158752 269812 539624 741983 1079248 1483966 2158496 2765573 2967932 5531146 5935864 8161813 11062292 11871728 16323626 22124584 23743456 30421303 32647252 44249168 60842606 65294504 88498336 121685212 130589008 243370424 261178016 334634333 486740848 669268666 973481696 1338537332 2677074664 5354149328 10708298656