Search a number
-
+
212457056444380 = 225112935179636407
BaseRepresentation
bin110000010011101010000011…
…011000010001111111011100
31000212020200210120001012220101
4300103222003120101333130
5210321344022422210010
62031505231353230444
762515341626111116
oct6023520330217734
91025220716035811
10212457056444380
1161771593689710
121b9b3726402424
1391717cac66197
143a66d953463b6
1519867679b673a
hexc13a83611fdc

212457056444380 has 96 divisors (see below), whose sum is σ = 488476029565440. Its totient is φ = 76978447860480.

The previous prime is 212457056444333. The next prime is 212457056444441. The reversal of 212457056444380 is 83444650754212.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 333520137 + ... + 334156543.

It is an arithmetic number, because the mean of its divisors is an integer number (5088291974640).

Almost surely, 2212457056444380 is an apocalyptic number.

212457056444380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212457056444380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244238014782720).

212457056444380 is an abundant number, since it is smaller than the sum of its proper divisors (276018973121060).

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

212457056444380 is a wasteful number, since it uses less digits than its factorization.

212457056444380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641899 (or 641897 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 55.

The spelling of 212457056444380 in words is "two hundred twelve trillion, four hundred fifty-seven billion, fifty-six million, four hundred forty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 293 586 1172 1465 2930 3223 5179 5860 6446 10358 12892 16115 20716 25895 32230 51790 56969 64460 103580 113938 227876 284845 569690 636407 1139380 1272814 1517447 2545628 3034894 3182035 6069788 6364070 7000477 7587235 12728140 14000954 15174470 16691917 28001908 30348940 33383834 35002385 66767668 70004770 83459585 140009540 166919170 186467251 333838340 372934502 745869004 932336255 1864672510 2051139761 3295951853 3729345020 4102279522 6591903706 8204559044 10255698805 13183807412 16479759265 20511397610 32959518530 36255470383 41022795220 65919037060 72510940766 145021881532 181277351915 362554703830 725109407660 965713892929 1931427785858 3862855571716 4828569464645 9657138929290 10622852822219 19314277858580 21245705644438 42491411288876 53114264111095 106228528222190 212457056444380