Search a number
-
+
6345071718260 = 225111011092619787
BaseRepresentation
bin101110001010101001110…
…1111101110111101110100
3211110120201221212002122212
41130111103233232331310
51312424201324441020
621254515151312552
71223262535503122
oct134252357567564
924416657762585
106345071718260
112026a25629790
1286587381b758
13370450bc0482
1417d162d0c912
15b00b34eecc5
hex5c553beef74

6345071718260 has 96 divisors (see below), whose sum is σ = 14814586765440. Its totient is φ = 2263495104000.

The previous prime is 6345071718241. The next prime is 6345071718277. The reversal of 6345071718260 is 628171705436.

It is a junction number, because it is equal to n+sod(n) for n = 6345071718199 and 6345071718208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1112087 + ... + 3731873.

It is an arithmetic number, because the mean of its divisors is an integer number (154318612140).

Almost surely, 26345071718260 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 6345071718260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7407293382720).

6345071718260 is an abundant number, since it is smaller than the sum of its proper divisors (8469515047180).

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

6345071718260 is a wasteful number, since it uses less digits than its factorization.

6345071718260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620017 (or 2620015 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The spelling of 6345071718260 in words is "six trillion, three hundred forty-five billion, seventy-one million, seven hundred eighteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 109 110 202 218 220 404 436 505 545 1010 1090 1111 1199 2020 2180 2222 2398 4444 4796 5555 5995 11009 11110 11990 22018 22220 23980 44036 55045 110090 121099 220180 242198 484396 605495 1210990 2421980 2619787 5239574 10479148 13098935 26197870 28817657 52395740 57635314 115270628 144088285 264598487 285556783 288176570 529196974 571113566 576353140 1058393948 1142227132 1322992435 1427783915 2645984870 2855567830 2910583357 3141124613 5291969740 5711135660 5821166714 6282249226 11642333428 12564498452 14552916785 15705623065 28841235083 29105833570 31411246130 57682470166 58211667140 62822492260 115364940332 144206175415 288412350830 317253585913 576824701660 634507171826 1269014343652 1586267929565 3172535859130 6345071718260