Search a number
-
+
421563961980 = 223257563594271
BaseRepresentation
bin1100010001001110010…
…10111001001001111100
31111022010111222010202100
412020213022321021330
523401330333240410
6521355214425100
742312514360560
oct6104712711174
91438114863670
10421563961980
11152869959187
1269850b02190
13309a4041665
141659207b6a0
15ae74ae58c0
hex62272b927c

421563961980 has 144 divisors (see below), whose sum is σ = 1464019974144. Its totient is φ = 96186165120.

The previous prime is 421563961963. The next prime is 421563961991. The reversal of 421563961980 is 89169365124.

421563961980 is a `hidden beast` number, since 4 + 2 + 15 + 6 + 3 + 9 + 619 + 8 + 0 = 666.

421563961980 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412245 + ... + 1006515.

It is an arithmetic number, because the mean of its divisors is an integer number (10166805376).

Almost surely, 2421563961980 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 421563961980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732009987072).

421563961980 is an abundant number, since it is smaller than the sum of its proper divisors (1042456012164).

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

421563961980 is a wasteful number, since it uses less digits than its factorization.

421563961980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594856 (or 594851 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 421563961980 in words is "four hundred twenty-one billion, five hundred sixty-three million, nine hundred sixty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 563 630 1126 1260 1689 2252 2815 3378 3941 5067 5630 6756 7882 8445 10134 11260 11823 15764 16890 19705 20268 23646 25335 33780 35469 39410 47292 50670 59115 70938 78820 101340 118230 141876 177345 236460 354690 594271 709380 1188542 1782813 2377084 2971355 3565626 4159897 5348439 5942710 7131252 8319794 8914065 10696878 11885420 12479691 16639588 17828130 20799485 21393756 24959382 26742195 35656260 37439073 41598970 49918764 53484390 62398455 74878146 83197940 106968780 124796910 149756292 187195365 249593820 334574573 374390730 669149146 748781460 1003723719 1338298292 1672872865 2007447438 2342022011 3011171157 3345745730 4014894876 4684044022 5018618595 6022342314 6691491460 7026066033 9368088044 10037237190 11710110055 12044684628 14052132066 15055855785 20074474380 21078198099 23420220110 28104264132 30111711570 35130330165 42156396198 46840440220 60223423140 70260660330 84312792396 105390990495 140521320660 210781980990 421563961980