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3838500270045 = 325728627201787
BaseRepresentation
bin110111110110111000011…
…100011110111111011101
3111120221211200110101012100
4313312320130132333131
51000342222032120140
612055214354155313
7544215420645300
oct67667034367735
914527750411170
103838500270045
11124a998373171
1251bb15b82b39
1321ac79c3274c
14d3ada596b37
1569caca28530
hex37db871efdd

3838500270045 has 72 divisors (see below), whose sum is σ = 7740605437344. Its totient is φ = 1754530884288.

The previous prime is 3838500270037. The next prime is 3838500270079. The reversal of 3838500270045 is 5400720058383.

3838500270045 is a `hidden beast` number, since 3 + 8 + 38 + 500 + 2 + 70 + 0 + 45 = 666.

It is not a de Polignac number, because 3838500270045 - 23 = 3838500270037 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18921642 + ... + 19123428.

It is an arithmetic number, because the mean of its divisors is an integer number (107508408852).

Almost surely, 23838500270045 is an apocalyptic number.

3838500270045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3838500270045 is an abundant number, since it is smaller than the sum of its proper divisors (3902105167299).

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

3838500270045 is a wasteful number, since it uses less digits than its factorization.

3838500270045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210439 (or 210429 counting only the distinct ones).

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

The spelling of 3838500270045 in words is "three trillion, eight hundred thirty-eight billion, five hundred million, two hundred seventy thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 8627 25881 43135 60389 77643 129405 181167 201787 301945 388215 422723 543501 605361 905835 1008935 1268169 1412509 1816083 2113615 2717505 3026805 3804507 4237527 6340845 7062545 9080415 9887563 12712581 19022535 21187635 29662689 49437815 63562905 88988067 148313445 444940335 1740816449 5222449347 8704082245 12185715143 15667348041 26112246735 36557145429 60928575715 78336740205 85300006001 109671436287 182785727145 255900018003 426500030005 548357181435 767700054009 1279500090015 3838500270045