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8165260530064 = 2411210126432
BaseRepresentation
bin111011011010001111101…
…1101000001000110010000
31001220120222001020011111001
41312310133131001012100
52032234423143430224
625211022514431344
71501630524226621
oct166643735010620
931816861204431
108165260530064
11266895a779500
12aba595292554
13472c9997ac61
142032b4ab1a48
15e25e566d544
hex76d1f741190

8165260530064 has 135 divisors (see below), whose sum is σ = 17590367938017. Its totient is φ = 3669019728000.

The previous prime is 8165260530019. The next prime is 8165260530079. The reversal of 8165260530064 is 4600350625618.

The square root of 8165260530064 is 2857492.

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

It can be written as a sum of positive squares in only one way, i.e., 7845085624464 + 320174905600 = 2800908^2 + 565840^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8165260529996 and 8165260530023.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12698694127 + ... + 12698694769.

Almost surely, 28165260530064 is an apocalyptic number.

8165260530064 is the 2857492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8165260530064

8165260530064 is an abundant number, since it is smaller than the sum of its proper divisors (9425107407953).

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

8165260530064 is an equidigital number, since it uses as much as digits as its factorization.

8165260530064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 8165260530064 in words is "eight trillion, one hundred sixty-five billion, two hundred sixty million, five hundred thirty thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 101 121 176 202 242 404 484 643 808 968 1111 1286 1616 1936 2222 2572 4444 5144 7073 8888 10201 10288 12221 14146 17776 20402 24442 28292 40804 48884 56584 64943 77803 81608 97768 112211 113168 129886 155606 163216 195536 224422 259772 311212 413449 448844 519544 622424 714373 826898 897688 1039088 1234321 1244848 1428746 1653796 1795376 2468642 2857492 3307592 4547939 4937284 5714984 6559243 6615184 7858103 9095878 9874568 11429968 13118486 15716206 18191756 19749136 26236972 31432412 36383512 41758349 50027329 52473944 62864824 72151673 72767024 83516698 100054658 104947888 125729648 144303346 167033396 200109316 288606692 334066792 400218632 459341839 577213384 668133584 793668403 800437264 918683678 1154426768 1587336806 1837367356 3174673612 3674734712 4217593249 5052760229 6349347224 7349469424 8435186498 10105520458 12698694448 16870372996 20211040916 33740745992 40422081832 46393525739 67481491984 80844163664 92787051478 185574102956 371148205912 510328783129 742296411824 1020657566258 2041315132516 4082630265032 8165260530064