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1682439543612 = 2232591261362801
BaseRepresentation
bin11000011110111001001…
…101100001101100111100
312221211200002211012200100
4120132321031201230330
5210031114010343422
63324522502201100
7232360264106502
oct30367115415474
95854602735610
101682439543612
11599578296813
12232099723190
13c28655b0689
145b60545a672
152db6dd3a7ac
hex187b9361b3c

1682439543612 has 72 divisors (see below), whose sum is σ = 4325326976880. Its totient is φ = 551255385600.

The previous prime is 1682439543607. The next prime is 1682439543613. The reversal of 1682439543612 is 2163459342861.

It is a happy number.

1682439543612 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 4 + 39 + 543 + 61 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682439543613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26758612 + ... + 26821412.

It is an arithmetic number, because the mean of its divisors is an integer number (60073985790).

Almost surely, 21682439543612 is an apocalyptic number.

1682439543612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1682439543612 is an abundant number, since it is smaller than the sum of its proper divisors (2642887433268).

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

1682439543612 is a wasteful number, since it uses less digits than its factorization.

1682439543612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75483 (or 75478 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 1682439543612 in words is "one trillion, six hundred eighty-two billion, four hundred thirty-nine million, five hundred forty-three thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 12613 25226 37839 50452 62801 75678 113517 125602 151356 188403 227034 251204 376806 454068 565209 744167 753612 1130418 1488334 2232501 2260836 2976668 3705259 4465002 6697503 7410518 8930004 11115777 13395006 14821036 22231554 26790012 33347331 44463108 66694662 133389324 792109013 1584218026 2376327039 3168436052 4752654078 7128981117 9505308156 14257962234 28515924468 46734431767 93468863534 140203295301 186937727068 280406590602 420609885903 560813181204 841219771806 1682439543612