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10828614535 = 5431073831229
BaseRepresentation
bin10100001010110111…
…11000101110000111
31000221122221121120121
422011123320232013
5134134111131120
64550302442411
7532225463524
oct120533705607
930848847517
1010828614535
11465751a412
122122593407
13103757b82b
1474a21a14b
154359d85aa
hex2856f8b87

10828614535 has 32 divisors (see below), whose sum is σ = 13466787840. Its totient is φ = 8353661568.

The previous prime is 10828614481. The next prime is 10828614541. The reversal of 10828614535 is 53541682801.

It is a cyclic number.

It is not a de Polignac number, because 10828614535 - 213 = 10828606343 is a prime.

It is a super-3 number, since 3×108286145353 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a junction number, because it is equal to n+sod(n) for n = 10828614491 and 10828614500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8810301 + ... + 8811529.

It is an arithmetic number, because the mean of its divisors is an integer number (420837120).

Almost surely, 210828614535 is an apocalyptic number.

10828614535 is a deficient number, since it is larger than the sum of its proper divisors (2638173305).

10828614535 is a wasteful number, since it uses less digits than its factorization.

10828614535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767.

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 10828614535 in words is "ten billion, eight hundred twenty-eight million, six hundred fourteen thousand, five hundred thirty-five".

Divisors: 1 5 43 107 215 383 535 1229 1915 4601 6145 16469 23005 40981 52847 82345 131503 204905 264235 470707 657515 1762183 2353535 5654629 8810915 20240401 28273145 50365649 101202005 251828245 2165722907 10828614535