Search a number
-
+
5765562473680 = 2451311069514639
BaseRepresentation
bin101001111100110011001…
…0011011001110011010000
3202102011220221222021022001
41103321212103121303100
51223430332443124210
620132355101123344
71133356004263612
oct123714623316320
922364827867261
105765562473680
111923185787aa9
127914a3259554
1332a8c8506c19
1415d0aa1badb2
159ee9753c03a
hex53e664d9cd0

5765562473680 has 80 divisors (see below), whose sum is σ = 13519922169600. Its totient is φ = 2286474877440.

The previous prime is 5765562473677. The next prime is 5765562473731. The reversal of 5765562473680 is 863742655675.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10945801 + ... + 11460439.

It is an arithmetic number, because the mean of its divisors is an integer number (168999027120).

Almost surely, 25765562473680 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 5765562473680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6759961084800).

5765562473680 is an abundant number, since it is smaller than the sum of its proper divisors (7754359695920).

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

5765562473680 is a wasteful number, since it uses less digits than its factorization.

5765562473680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515852 (or 515846 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 64.

The spelling of 5765562473680 in words is "five trillion, seven hundred sixty-five billion, five hundred sixty-two million, four hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1069 1310 2096 2138 2620 4276 5240 5345 8552 10480 10690 17104 21380 42760 85520 140039 280078 514639 560156 700195 1029278 1120312 1400390 2058556 2240624 2573195 2800780 4117112 5146390 5601560 8234224 10292780 11203120 20585560 41171120 67417709 134835418 269670836 337088545 539341672 550149091 674177090 1078683344 1100298182 1348354180 2200596364 2696708360 2750745455 4401192728 5393416720 5501490910 8802385456 11002981820 22005963640 44011927280 72069530921 144139061842 288278123684 360347654605 576556247368 720695309210 1153112494736 1441390618420 2882781236840 5765562473680