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10535941056 = 26371811953
BaseRepresentation
bin10011100111111110…
…11011001111000000
31000012021020021001010
421303333123033000
5133034200103211
64501245440520
7522043010214
oct116377331700
930167207033
1010535941056
11451729a503
122060570140
13cbba47764
1471d3d2944
15419e754a6
hex273fdb3c0

10535941056 has 112 divisors (see below), whose sum is σ = 28333525248. Its totient is φ = 3454617600.

The previous prime is 10535941051. The next prime is 10535941079. The reversal of 10535941056 is 65014953501.

It is a happy number.

It is a super-2 number, since 2×105359410562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10535941051) 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, 11055076 + ... + 11056028.

It is an arithmetic number, because the mean of its divisors is an integer number (252977904).

Almost surely, 210535941056 is an apocalyptic number.

10535941056 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 10535941056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14166762624).

10535941056 is an abundant number, since it is smaller than the sum of its proper divisors (17797584192).

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

10535941056 is an equidigital number, since it uses as much as digits as its factorization.

10535941056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The spelling of 10535941056 in words is "ten billion, five hundred thirty-five million, nine hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 811 852 953 1136 1622 1704 1906 2272 2433 2859 3244 3408 3812 4544 4866 5718 6488 6816 7624 9732 11436 12976 13632 15248 19464 22872 25952 30496 38928 45744 51904 57581 60992 67663 77856 91488 115162 135326 155712 172743 182976 202989 230324 270652 345486 405978 460648 541304 690972 772883 811956 921296 1082608 1381944 1545766 1623912 1842592 2165216 2318649 2763888 3091532 3247824 3685184 4330432 4637298 5527776 6183064 6495648 9274596 11055552 12366128 12991296 18549192 24732256 37098384 49464512 54874693 74196768 109749386 148393536 164624079 219498772 329248158 438997544 658496316 877995088 1316992632 1755990176 2633985264 3511980352 5267970528 10535941056