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1028353086135 = 325231039646387
BaseRepresentation
bin11101111011011101001…
…11101101001010110111
310122022100200202102202100
432331232213231022313
5113322031342224020
62104230251313143
7134203356002514
oct16755647551267
93568320672670
101028353086135
11367138565191
1214737544b7b3
1375c863b039b
1437ab5c6830b
151bb3a9c5a90
hexef6e9ed2b7

1028353086135 has 48 divisors (see below), whose sum is σ = 1878035986944. Its totient is φ = 519515764416.

The previous prime is 1028353086133. The next prime is 1028353086139. The reversal of 1028353086135 is 5316803538201.

1028353086135 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 3 + 530 + 86 + 1 + 35 = 666.

It is not a de Polignac number, because 1028353086135 - 21 = 1028353086133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028353086133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4716589 + ... + 4929798.

It is an arithmetic number, because the mean of its divisors is an integer number (39125749728).

Almost surely, 21028353086135 is an apocalyptic number.

1028353086135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1028353086135 is a deficient number, since it is larger than the sum of its proper divisors (849682900809).

1028353086135 is a wasteful number, since it uses less digits than its factorization.

1028353086135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9646524 (or 9646521 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1028353086135 in words is "one trillion, twenty-eight billion, three hundred fifty-three million, eighty-six thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 23 45 69 103 115 207 309 345 515 927 1035 1545 2369 4635 7107 11845 21321 35535 106605 9646387 28939161 48231935 86817483 144695805 221866901 434087415 665600703 993577861 1109334505 1996802109 2980733583 3328003515 4967889305 8942200749 9984010545 14903667915 22852290803 44711003745 68556872409 114261454015 205670617227 342784362045 1028353086135