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4282370536806 = 2333713122373369
BaseRepresentation
bin111110010100010001001…
…011001011010101100110
3120011101112202200012121000
4332110101023023111212
51030130243324134211
613035143250334130
7621251063653545
oct76242113132546
916141482605530
104282370536806
11140116358827a
12591b5128a346
13250a973c07cb
1410b3a6d4a15c
15765daaa4656
hex3e5112cb566

4282370536806 has 128 divisors (see below), whose sum is σ = 9892482969600. Its totient is φ = 1372075511040.

The previous prime is 4282370536781. The next prime is 4282370536813. The reversal of 4282370536806 is 6086350732824.

4282370536806 is a `hidden beast` number, since 4 + 2 + 8 + 23 + 7 + 0 + 536 + 80 + 6 = 666.

4282370536806 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58330890 + ... + 58404258.

It is an arithmetic number, because the mean of its divisors is an integer number (77285023200).

Almost surely, 24282370536806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4282370536806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946241484800).

4282370536806 is an abundant number, since it is smaller than the sum of its proper divisors (5610112432794).

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

4282370536806 is a wasteful number, since it uses less digits than its factorization.

4282370536806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73771 (or 73765 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4282370536806 in words is "four trillion, two hundred eighty-two billion, three hundred seventy million, five hundred thirty-six thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 131 222 223 262 333 393 446 666 669 786 999 1179 1338 1998 2007 2358 3537 4014 4847 6021 7074 8251 9694 12042 14541 16502 24753 29082 29213 43623 49506 58426 73369 74259 87246 87639 130869 146738 148518 175278 220107 222777 261738 262917 440214 445554 525834 660321 788751 1080881 1320642 1577502 1980963 2161762 2714653 3242643 3961926 5429306 6485286 8143959 9611339 9727929 16287918 16361287 19222678 19455858 24431877 28834017 29183787 32722574 48863754 49083861 57668034 58367574 73295631 86502051 98167722 146591262 147251583 173004102 259506153 294503166 355619543 441754749 519012306 605367619 711239086 883509498 1066858629 1210735238 1816102857 2133717258 2143328597 3200575887 3632205714 4286657194 5448308571 6401151774 6429985791 9601727661 10896617142 12859971582 16344925713 19203455322 19289957373 32689851426 38579914746 57869872119 79303158089 115739744238 158606316178 237909474267 475818948534 713728422801 1427456845602 2141185268403 4282370536806