Search a number
-
+
542512142240652 = 2232531622917520211
BaseRepresentation
bin111101101011010010111001…
…1100001100100101110001100
32122010212122122222022221210100
41323112211303201210232030
51032102004331403200102
65201454345412411100
7222162131424654513
oct17326456341445614
92563778588287710
10542512142240652
1114795212003a251
1250a1a5a2916a90
131a3938a20b825c
1497d7a2909167a
1542abebc1e6a1c
hex1ed6973864b8c

542512142240652 has 72 divisors (see below), whose sum is σ = 1397310842294640. Its totient is φ = 177414411957120.

The previous prime is 542512142240581. The next prime is 542512142240759. The reversal of 542512142240652 is 256042241215245.

542512142240652 is a `hidden beast` number, since 5 + 4 + 2 + 5 + 1 + 214 + 22 + 406 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 542512142240598 and 542512142240607.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22204827 + ... + 39725037.

It is an arithmetic number, because the mean of its divisors is an integer number (19407095031870).

Almost surely, 2542512142240652 is an apocalyptic number.

It is an amenable number.

542512142240652 is an abundant number, since it is smaller than the sum of its proper divisors (854798700053988).

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

542512142240652 is a wasteful number, since it uses less digits than its factorization.

542512142240652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17536503 (or 17536498 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

Adding to 542512142240652 its reverse (256042241215245), we get a palindrome (798554383455897).

The spelling of 542512142240652 in words is "five hundred forty-two trillion, five hundred twelve billion, one hundred forty-two million, two hundred forty thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 16229 32458 48687 64916 97374 146061 194748 292122 584244 860137 1720274 2580411 3440548 5160822 7741233 10321644 15482466 17520211 30964932 35040422 52560633 70080844 105121266 157681899 210242532 315363798 630727596 928571183 1857142366 2785713549 3714284732 5571427098 8357140647 11142854196 16714281294 33428562588 284335504319 568671008638 853006512957 1137342017276 1706013025914 2559019538871 3412026051828 5118039077742 10236078155484 15069781728907 30139563457814 45209345186721 60279126915628 90418690373442 135628035560163 180837380746884 271256071120326 542512142240652