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6445782135 = 32513171993257
BaseRepresentation
bin1100000000011001…
…01101010001110111
3121122012212122210200
412000030231101313
5101200110012020
62543335251543
7315506146512
oct60014552167
917565778720
106445782135
112808526581
1212ba819bb3
137b9549990
144520cdd79
1527ad41590
hex18032d477

6445782135 has 96 divisors (see below), whose sum is σ = 12807849600. Its totient is φ = 2970722304.

The previous prime is 6445782107. The next prime is 6445782137. The reversal of 6445782135 is 5312875446.

6445782135 is a `hidden beast` number, since 6 + 44 + 578 + 2 + 1 + 35 = 666.

Together with 6362067464 it forms a betrothed pair.

It is not a de Polignac number, because 6445782135 - 226 = 6378673271 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 (6445782137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1977427 + ... + 1980683.

It is an arithmetic number, because the mean of its divisors is an integer number (133415100).

Almost surely, 26445782135 is an apocalyptic number.

6445782135 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6445782135 is a deficient number, since it is larger than the sum of its proper divisors (6362067465).

6445782135 is a wasteful number, since it uses less digits than its factorization.

6445782135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3494 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 6445782135 is about 80285.6284461920. The cubic root of 6445782135 is about 1861.0521405920.

The spelling of 6445782135 in words is "six billion, four hundred forty-five million, seven hundred eighty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 9 13 15 17 39 45 51 65 85 117 153 195 199 221 255 585 597 663 765 995 1105 1791 1989 2587 2985 3257 3315 3383 7761 8955 9771 9945 10149 12935 16285 16915 23283 29313 30447 38805 42341 43979 48855 50745 55369 116415 127023 131937 146565 152235 166107 211705 219895 276845 381069 395811 498321 635115 648143 659685 719797 830535 1905345 1944429 1979055 2159391 2491605 3240715 3598985 5833287 6478173 8425859 9722145 10796955 11018431 25277577 29166435 32390865 33055293 42129295 55092155 75832731 99165879 126387885 143239603 165276465 379163655 429718809 495829395 716198015 1289156427 2148594045 6445782135