Search a number
-
+
212035396848 = 243112235773121
BaseRepresentation
bin1100010101111001001…
…0110110010011110000
3202021022010000012012020
43011132102312103300
511433222030144343
6241224022231440
721214302064362
oct3053622662360
9667263005166
10212035396848
1181a184a9a70
1235116285580
1316cc18c8282
14a3966b4d32
1557aed87b83
hex315e4b64f0

212035396848 has 160 divisors (see below), whose sum is σ = 601466836992. Its totient is φ = 63833702400.

The previous prime is 212035396847. The next prime is 212035396873. The reversal of 212035396848 is 848693530212.

It is a happy number.

212035396848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212035396848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212035396847) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 67936728 + ... + 67939848.

Almost surely, 2212035396848 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 212035396848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300733418496).

212035396848 is an abundant number, since it is smaller than the sum of its proper divisors (389431440144).

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

212035396848 is a wasteful number, since it uses less digits than its factorization.

212035396848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 212035396848 in words is "two hundred twelve billion, thirty-five million, three hundred ninety-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 223 264 446 528 577 669 892 1154 1338 1731 1784 2308 2453 2676 3121 3462 3568 4616 4906 5352 6242 6347 6924 7359 9232 9363 9812 10704 12484 12694 13848 14718 18726 19041 19624 24968 25388 27696 29436 34331 37452 38082 39248 49936 50776 58872 68662 74904 76164 101552 102993 117744 128671 137324 149808 152328 205986 257342 274648 304656 386013 411972 514684 549296 695983 772026 823944 1029368 1391966 1415381 1544052 1647888 1800817 2058736 2087949 2783932 2830762 3088104 3601634 4175898 4246143 5402451 5567864 5661524 6176208 7203268 7655813 8351796 8492286 10804902 11135728 11323048 14406536 15311626 16703592 16984572 19808987 21609804 22646096 22967439 28813072 30623252 33407184 33969144 39617974 43219608 45934878 59426961 61246504 67938288 79235948 86439216 91869756 118853922 122493008 158471896 183739512 237707844 316943792 367479024 401582191 475415688 803164382 950831376 1204746573 1606328764 2409493146 3212657528 4417404101 4818986292 6425315056 8834808202 9637972584 13252212303 17669616404 19275945168 26504424606 35339232808 53008849212 70678465616 106017698424 212035396848