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79296307216 = 24728921132
BaseRepresentation
bin100100111011001101…
…1011010000000010000
321120200021222202222021
41021312123122000100
52244344323312331
6100232255021224
75505015330100
oct1116633320020
9246607882867
1079296307216
11306a17752a5
121345020a814
137629401959
143ba351d200
1520e181c211
hex12766da010

79296307216 has 135 divisors (see below), whose sum is σ = 182364494871. Its totient is φ = 33304922112.

The previous prime is 79296307171. The next prime is 79296307217. The reversal of 79296307216 is 61270369297.

The square root of 79296307216 is 281596.

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

It can be written as a sum of positive squares in 4 ways, for example, as 54990250000 + 24306057216 = 234500^2 + 155904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (79296307217) 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, 701737176 + ... + 701737288.

Almost surely, 279296307216 is an apocalyptic number.

79296307216 is the 281596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79296307216

79296307216 is an abundant number, since it is smaller than the sum of its proper divisors (103068187655).

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

79296307216 is an equidigital number, since it uses as much as digits as its factorization.

79296307216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 52.

The spelling of 79296307216 in words is "seventy-nine billion, two hundred ninety-six million, three hundred seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 89 98 112 113 178 196 226 356 392 452 623 712 784 791 904 1246 1424 1582 1808 2492 3164 4361 4984 5537 6328 7921 8722 9968 10057 11074 12656 12769 15842 17444 20114 22148 25538 31684 34888 40228 44296 51076 55447 63368 69776 70399 80456 88592 89383 102152 110894 126736 140798 160912 178766 204304 221788 281596 357532 388129 443576 492793 563192 625681 715064 776258 887152 895073 985586 1126384 1136441 1251362 1430128 1552516 1790146 1971172 2272882 2502724 3105032 3580292 3942344 4545764 5005448 6210064 6265511 7160584 7884688 7955087 9091528 10010896 12531022 14321168 15910174 18183056 25062044 31820348 43858577 50124088 55685609 63640696 87717154 100248176 101143249 111371218 127281392 175434308 202286498 222742436 350868616 404572996 445484872 701737232 708002743 809145992 890969744 1416005486 1618291984 2832010972 4956019201 5664021944 9912038402 11328043888 19824076804 39648153608 79296307216