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12835771542864 = 243431319488539
BaseRepresentation
bin1011101011001000111110…
…0110100110110101010000
31200110002100222200111120000
42322302033212212311100
53140300130003332424
643144401054450000
72463232245632664
oct272621746466520
950402328614500
1012835771542864
1140a9690454166
1215337a9b03900
1372153c68b16a
1432537cacc8a4
15173d4b8983c9
hexbac8f9a6d50

12835771542864 has 100 divisors (see below), whose sum is σ = 38348848433280. Its totient is φ = 4140571452480.

The previous prime is 12835771542821. The next prime is 12835771542901. The reversal of 12835771542864 is 46824517753821.

12835771542864 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 5 + 7 + 7 + 1 + 542 + 86 + 4 = 666.

It is a super-2 number, since 2×128357715428642 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 159704094 + ... + 159784445.

Almost surely, 212835771542864 is an apocalyptic number.

It is an amenable number.

12835771542864 is an abundant number, since it is smaller than the sum of its proper divisors (25513076890416).

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

12835771542864 is a wasteful number, since it uses less digits than its factorization.

12835771542864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319488590 (or 319488575 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 12835771542864 in words is "twelve trillion, eight hundred thirty-five billion, seven hundred seventy-one million, five hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 248 279 324 372 432 496 558 648 744 837 1116 1296 1488 1674 2232 2511 3348 4464 5022 6696 10044 13392 20088 40176 319488539 638977078 958465617 1277954156 1916931234 2555908312 2875396851 3833862468 5111816624 5750793702 7667724936 8626190553 9904144709 11501587404 15335449872 17252381106 19808289418 23003174808 25878571659 29712434127 34504762212 39616578836 46006349616 51757143318 59424868254 69009524424 79233157672 89137302381 103514286636 118849736508 138019048848 158466315344 178274604762 207028573272 237699473016 267411907143 356549209524 414057146544 475398946032 534823814286 713098419048 802235721429 1069647628572 1426196838096 1604471442858 2139295257144 3208942885716 4278590514288 6417885771432 12835771542864