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10828359756045 = 3351337166756907
BaseRepresentation
bin1001110110010010110010…
…0010010110100100001101
31102100011220000020212111000
42131210230202112210031
52404402440044143140
635010251345250513
72165215564162656
oct235445442264415
942304800225430
1010828359756045
1134a5310873227
12126a737933a39
13607157713620
14296149b3052d
1513ba0cd60a30
hex9d92c89690d

10828359756045 has 64 divisors (see below), whose sum is σ = 21291522013440. Its totient is φ = 5186806804224.

The previous prime is 10828359756043. The next prime is 10828359756073. The reversal of 10828359756045 is 54065795382801.

10828359756045 is a `hidden beast` number, since 1 + 0 + 8 + 28 + 3 + 5 + 9 + 7 + 560 + 45 = 666.

It is not a de Polignac number, because 10828359756045 - 21 = 10828359756043 is a prime.

It is a super-3 number, since 3×108283597560453 (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10828359756041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83313519 + ... + 83443388.

It is an arithmetic number, because the mean of its divisors is an integer number (332680031460).

It is a 1-persistent number, because it is pandigital, but 2⋅10828359756045 = 21656719512090 is not.

Almost surely, 210828359756045 is an apocalyptic number.

10828359756045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10828359756045 is a deficient number, since it is larger than the sum of its proper divisors (10463162257395).

10828359756045 is a wasteful number, since it uses less digits than its factorization.

10828359756045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166756971 (or 166756965 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 10828359756045 in words is "ten trillion, eight hundred twenty-eight billion, three hundred fifty-nine million, seven hundred fifty-six thousand, forty-five".

Divisors: 1 3 5 9 13 15 27 37 39 45 65 111 117 135 185 195 333 351 481 555 585 999 1443 1665 1755 2405 4329 4995 7215 12987 21645 64935 166756907 500270721 833784535 1500812163 2167839791 2501353605 4502436489 6170005559 6503519373 7504060815 10839198955 18510016677 19510558119 22512182445 30850027795 32517596865 55530050031 58531674357 80210072267 92550083385 97552790595 166590150093 240630216801 277650250155 292658371785 401050361335 721890650403 832950750465 1203151084005 2165671951209 3609453252015 10828359756045