Search a number
-
+
212537144086410 = 2351113137593600731
BaseRepresentation
bin110000010100110100101000…
…111110011000111110001010
31000212112100112000001222011110
4300110310220332120332022
5210324202032341231120
62032010114401311150
762524205363614623
oct6024645076307612
91025470460058143
10212537144086410
11617a2551006520
121ba071576354b6
1391792222a5890
143a6abd19b6a4a
1519888a39e82e0
hexc14d28f98f8a

212537144086410 has 128 divisors (see below), whose sum is σ = 599309290782720. Its totient is φ = 47557289606400.

The previous prime is 212537144086387. The next prime is 212537144086411. The reversal of 212537144086410 is 14680441735212.

It is a self number, because there is not a number n which added to its sum of digits gives 212537144086410.

It is not an unprimeable number, because it can be changed into a prime (212537144086411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57225745 + ... + 60826475.

It is an arithmetic number, because the mean of its divisors is an integer number (4682103834240).

Almost surely, 2212537144086410 is an apocalyptic number.

212537144086410 is an abundant number, since it is smaller than the sum of its proper divisors (386772146696310).

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

212537144086410 is a wasteful number, since it uses less digits than its factorization.

212537144086410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614524.

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 212537144086410 in words is "two hundred twelve trillion, five hundred thirty-seven billion, one hundred forty-four million, eighty-six thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 2145 4290 13759 27518 41277 68795 82554 137590 151349 178867 206385 302698 357734 412770 454047 536601 756745 894335 908094 1073202 1513490 1788670 1967537 2270235 2683005 3600731 3935074 4540470 5366010 5902611 7201462 9837685 10802193 11805222 18003655 19675370 21604386 29513055 36007310 39608041 46809503 54010965 59026110 79216082 93619006 108021930 118824123 140428509 198040205 234047515 237648246 280857018 396080410 468095030 514904533 594120615 702142545 1029809066 1188241230 1404285090 1544713599 2574522665 3089427198 5149045330 7723567995 15447135990 49542457829 99084915658 148627373487 247712289145 297254746974 495424578290 544967036119 644051951777 743136867435 1089934072238 1288103903554 1486273734870 1634901108357 1932155855331 2724835180595 3220259758885 3269802216714 3864311710662 5449670361190 6440519517770 7084571469547 8174505541785 9660779276655 14169142939094 16349011083570 19321558553310 21253714408641 35422857347735 42507428817282 70845714695470 106268572043205 212537144086410