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80536714350625 = 541325325212
BaseRepresentation
bin10010010011111101101010…
…010000000001000000100001
3101120011020100002120222202101
4102103331222100001000201
541024003142333210000
6443142020015450401
722651404600615061
oct2223755220010041
9346136302528671
1080536714350625
1123730479732675
12904867a826a01
1335c276c436100
1415c5dd7c633a1
15949e28887e6a
hex493f6a401021

80536714350625 has 135 divisors (see below), whose sum is σ = 111284145351687. Its totient is φ = 58239130560000.

The previous prime is 80536714350623. The next prime is 80536714350643. The reversal of 80536714350625 is 52605341763508.

The square root of 80536714350625 is 8974225.

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

It can be written as a sum of positive squares in 67 ways, for example, as 1144765183969 + 79391949166656 = 1069937^2 + 8910216^2 .

It is not a de Polignac number, because 80536714350625 - 21 = 80536714350623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80536714350623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 154581025365 + ... + 154581025885.

Almost surely, 280536714350625 is an apocalyptic number.

80536714350625 is the 8974225-th square number.

80536714350625 is the 4487113-rd centered octagonal number.

It is an amenable number.

80536714350625 is a deficient number, since it is larger than the sum of its proper divisors (30747431001062).

80536714350625 is an frugal number, since it uses more digits than its factorization.

80536714350625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 55.

The spelling of 80536714350625 in words is "eighty trillion, five hundred thirty-six billion, seven hundred fourteen million, three hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 13 25 53 65 125 169 265 325 521 625 689 845 1325 1625 2605 2809 3445 4225 6625 6773 8125 8957 13025 14045 17225 21125 27613 33125 33865 36517 44785 65125 70225 86125 88049 105625 138065 169325 182585 223925 271441 325625 351125 358969 430625 440245 474721 690325 846625 912925 1119625 1357205 1463489 1755625 1794845 2201225 2373605 3451625 3528733 4233125 4564625 4666597 5598125 6786025 7317445 8974225 11006125 11868025 14386373 17258125 17643665 19025357 22823125 23332985 33930125 36587225 44871125 45873529 55030625 59340125 71931865 88218325 95126785 116664925 169650625 182936125 187022849 224355625 229367645 247329641 296700625 359659325 441091625 475633925 583324625 762477769 914680625 935114245 1146838225 1236648205 1798296625 2205458125 2378169625 2431297037 2916623125 3812388845 4675571225 5734191125 6183241025 8991483125 9912210997 11890848125 12156485185 19061944225 23377856125 28670955625 30916205125 49561054985 60782425925 95309721125 116889280625 128858742961 154581025625 247805274925 303912129625 476548605625 644293714805 1239026374625 1519560648125 3221468574025 6195131873125 16107342870125 80536714350625