Search a number
-
+
541066131133255 = 572136115767176629
BaseRepresentation
bin111101100000110001100011…
…0100010111101001101000111
32121221202102020222022201122201
41323001203012202331031013
51031404311414032231010
65154430203232135331
7221652511060234300
oct17301430642751507
92557672228281581
10541066131133255
11147444948506a72
12508262a8697547
131a2ba417c74460
149787a51c177a7
1542845899c123a
hex1ec18c68bd347

541066131133255 has 96 divisors (see below), whose sum is σ = 826774191815040. Its totient is φ = 336839374126080.

The previous prime is 541066131133243. The next prime is 541066131133261. The reversal of 541066131133255 is 552331131660145.

It is not a de Polignac number, because 541066131133255 - 25 = 541066131133223 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3063203281 + ... + 3063379909.

It is an arithmetic number, because the mean of its divisors is an integer number (8612231164740).

Almost surely, 2541066131133255 is an apocalyptic number.

541066131133255 is a deficient number, since it is larger than the sum of its proper divisors (285708060681785).

541066131133255 is a wasteful number, since it uses less digits than its factorization.

541066131133255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192489 (or 192482 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 541066131133255 in words is "five hundred forty-one trillion, sixty-six billion, one hundred thirty-one million, one hundred thirty-three thousand, two hundred fifty-five".

Divisors: 1 5 7 13 35 49 61 65 91 245 305 427 455 637 793 2135 2989 3185 3965 5551 14945 15767 27755 38857 78835 110369 176629 194285 204971 551845 772583 883145 961787 1024855 1236403 1434797 2296177 3862915 4808935 6182015 6732509 7173985 8654821 10043579 10774369 11480885 12503231 16073239 33662545 43274105 47127563 50217895 53871845 62516155 75420583 80366195 87522617 112512673 140066797 235637815 377102915 437613085 527944081 562563365 612658319 700333985 980467579 2639720405 2784909443 3063291595 4902337895 6863273053 13924547215 19494366101 34316365265 36203822759 97471830505 136460562707 169879476023 181019113795 253426759313 682302813535 849397380115 1189156332161 1267133796565 1773987315191 2208433188299 5945781660805 8324094325127 8869936575955 11042165941495 15459032318093 41620471625635 77295161590465 108213226226651 541066131133255