Search a number
-
+
5081579943696 = 243219298872
BaseRepresentation
bin100100111110010010111…
…0001000111011100010000
3122222210110001011122201100
41021330211301013130100
51131224033431144241
614450240125504400
71033063200561444
oct111744561073420
918883401148640
105081579943696
11168a0a4446733
126a0a16a12100
132ab26362bbb9
14137d422b4824
158c2b477b9b6
hex49f25c47710

5081579943696 has 135 divisors (see below), whose sum is σ = 15010771643751. Its totient is φ = 1604547150912.

The previous prime is 5081579943673. The next prime is 5081579943697. The reversal of 5081579943696 is 6963499751805.

The square root of 5081579943696 is 2254236.

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

5081579943696 is a `hidden beast` number, since 5 + 0 + 8 + 1 + 579 + 9 + 43 + 6 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (5081579943697) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 513960865 + ... + 513970751.

Almost surely, 25081579943696 is an apocalyptic number.

5081579943696 is the 2254236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5081579943696

5081579943696 is an abundant number, since it is smaller than the sum of its proper divisors (9929191700055).

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

5081579943696 is an frugal number, since it uses more digits than its factorization.

5081579943696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19826 (or 9911 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 5081579943696 in words is "five trillion, eighty-one billion, five hundred seventy-nine million, nine hundred forty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1368 1444 2166 2736 2888 3249 4332 5776 6498 8664 9887 12996 17328 19774 25992 29661 39548 51984 59322 79096 88983 118644 158192 177966 187853 237288 355932 375706 474576 563559 711864 751412 1127118 1423728 1502824 1690677 2254236 3005648 3381354 3569207 4508472 6762708 7138414 9016944 10707621 13525416 14276828 21415242 27050832 28553656 32122863 42830484 57107312 64245726 85660968 97752769 128491452 171321936 195505538 256982904 293258307 391011076 513965808 586516614 782022152 879774921 1173033228 1564044304 1759549842 1857302611 2346066456 3519099684 3714605222 4692132912 5571907833 7038199368 7429210444 11143815666 14076398736 14858420888 16715723499 22287631332 29716841776 33431446998 35288749609 44575262664 66862893996 70577499218 89150525328 105866248827 133725787992 141154998436 211732497654 267451575984 282309996872 317598746481 423464995308 564619993744 635197492962 846929990616 1270394985924 1693859981232 2540789971848 5081579943696