Search a number
-
+
19780843324356 = 22342470872
BaseRepresentation
bin1000111111101100101100…
…01000111100001111000100
32121001000210222111212110000
410133312112020330033010
510043042131342334411
6110023105522001300
74111055511016362
oct437662610741704
977030728455400
1019780843324356
1163370104099a4
1222757b04a6230
13b0643022b83a
144c557dc9a632
15244829c29956
hex11fd9623c3c4

19780843324356 has 45 divisors (see below), whose sum is σ = 51711241060479. Its totient is φ = 6593587756056.

The previous prime is 19780843324337. The next prime is 19780843324367. The reversal of 19780843324356 is 65342334808791.

It is a happy number.

The square root of 19780843324356 is 4447566.

It is a perfect power (a square), and thus also a powerful number.

19780843324356 is a `hidden beast` number, since 1 + 97 + 8 + 0 + 84 + 3 + 32 + 435 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19780843324293 and 19780843324302.

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 14 ways as a sum of consecutive naturals, for example, 79932645 + ... + 80179731.

It is a 1-persistent number, because it is pandigital, but 2⋅19780843324356 = 39561686648712 is not.

Almost surely, 219780843324356 is an apocalyptic number.

19780843324356 is the 4447566-th square number.

It is an amenable number.

19780843324356 is an abundant number, since it is smaller than the sum of its proper divisors (31930397736123).

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

19780843324356 is an frugal number, since it uses more digits than its factorization.

19780843324356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494190 (or 247092 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 19780843324356 in words is "nineteen trillion, seven hundred eighty billion, eight hundred forty-three million, three hundred twenty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 247087 494174 741261 988348 1482522 2223783 2965044 4447566 6671349 8895132 13342698 20014047 26685396 40028094 80056188 61051985569 122103971138 183155956707 244207942276 366311913414 549467870121 732623826828 1098935740242 1648403610363 2197871480484 3296807220726 4945210831089 6593614441452 9890421662178 19780843324356