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8080420241664 = 2832592212
BaseRepresentation
bin111010110010101111010…
…0101000000000100000000
31001121110222101020222001100
41311211132211000010000
52024342200040213124
625104032132534400
71462535226536211
oct165453645000400
931543871228040
108080420241664
112635983630081
12aa6058481400
13467c98b06984
141dd14716b408
15e02cc2951c9
hex7595e940100

8080420241664 has 81 divisors (see below), whose sum is σ = 23298237016509. Its totient is φ = 2693427932160.

The previous prime is 8080420241653. The next prime is 8080420241711. The reversal of 8080420241664 is 4661420240808.

The square root of 8080420241664 is 2842608.

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

8080420241664 is a `hidden beast` number, since 80 + 80 + 4 + 20 + 2 + 416 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2543999480064 + 5536420761600 = 1594992^2 + 2352960^2 .

It is a super-2 number, since 2×80804202416642 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 136415574 + ... + 136474794.

Almost surely, 28080420241664 is an apocalyptic number.

8080420241664 is the 2842608-th square number.

It is an amenable number.

8080420241664 is an abundant number, since it is smaller than the sum of its proper divisors (15217816774845).

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

8080420241664 is an frugal number, since it uses more digits than its factorization.

8080420241664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118464 (or 59226 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 8080420241664 in words is "eight trillion, eighty billion, four hundred twenty million, two hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 59221 118442 177663 236884 355326 473768 532989 710652 947536 1065978 1421304 1895072 2131956 2842608 3790144 4263912 5685216 7580288 8527824 11370432 15160576 17055648 22740864 34111296 45481728 68222592 136445184 3507126841 7014253682 10521380523 14028507364 21042761046 28057014728 31564141569 42085522092 56114029456 63128283138 84171044184 112228058912 126256566276 168342088368 224456117824 252513132552 336684176736 448912235648 505026265104 673368353472 897824471296 1010052530208 1346736706944 2020105060416 2693473413888 4040210120832 8080420241664