Search a number
-
+
421701652020 = 2235112209927673
BaseRepresentation
bin1100010001011110110…
…00001000111000110100
31111022111010001111222110
412020233120020320310
523402121110331040
6521421013531020
742316105620345
oct6105730107064
91438433044873
10421701652020
1115292a652800
126988b043a70
13309c672045c
14165a64800cc
15ae81c42980
hex622f608e34

421701652020 has 144 divisors (see below), whose sum is σ = 1298530497600. Its totient is φ = 102178306560.

The previous prime is 421701651997. The next prime is 421701652037. The reversal of 421701652020 is 20256107124.

421701652020 is digitally balanced in base 7, 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15224904 + ... + 15252576.

It is an arithmetic number, because the mean of its divisors is an integer number (9017572900).

Almost surely, 2421701652020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421701652020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649265248800).

421701652020 is an abundant number, since it is smaller than the sum of its proper divisors (876828845580).

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

421701652020 is a wasteful number, since it uses less digits than its factorization.

421701652020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29806 (or 29793 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 421701652020 its reverse (20256107124), we get a palindrome (441957759144).

The spelling of 421701652020 in words is "four hundred twenty-one billion, seven hundred one million, six hundred fifty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2099 2420 3630 4198 6297 7260 8396 10495 12594 20990 23089 25188 27673 31485 41980 46178 55346 62970 69267 83019 92356 110692 115445 125940 138365 138534 166038 230890 253979 276730 277068 304403 332076 346335 415095 461780 507958 553460 608806 692670 761937 830190 913209 1015916 1217612 1269895 1385340 1522015 1523874 1660380 1826418 2539790 3044030 3047748 3348433 3652836 3809685 4566045 5079580 6088060 6696866 7619370 9132090 10045299 13393732 15238740 16742165 18264180 20090598 33484330 40181196 50226495 58085627 66968660 100452990 116171254 174256881 200905980 232342508 290428135 348513762 580856270 638941897 697027524 871284405 1161712540 1277883794 1742568810 1916825691 2555767588 3194709485 3485137620 3833651382 6389418970 7028360867 7667302764 9584128455 12778837940 14056721734 19168256910 21085082601 28113443468 35141804335 38336513820 42170165202 70283608670 84340330404 105425413005 140567217340 210850826010 421701652020