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76111229430625 = 54312112572
BaseRepresentation
bin10001010011100100000110…
…110010110010101101100001
3100222111011101102221211211111
4101103210012302302231201
534434001244213240000
6425513003251143321
722013566134510424
oct2123440662625541
9328434342854744
1076111229430625
1122284655886054
128652a488a4b41
13336134819092c
1414b1b35c299bb
158bec63976cba
hex453906cb2b61

76111229430625 has 45 divisors (see below), whose sum is σ = 98284310711631. Its totient is φ = 58919588280000.

The previous prime is 76111229430623. The next prime is 76111229430637. The reversal of 76111229430625 is 52603492211167.

The square root of 76111229430625 is 8724175.

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

It can be written as a sum of positive squares in 7 ways, for example, as 30262838361889 + 45848391068736 = 5501167^2 + 6771144^2 .

It is not a de Polignac number, because 76111229430625 - 21 = 76111229430623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76111229430623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6761229997 + ... + 6761241253.

Almost surely, 276111229430625 is an apocalyptic number.

76111229430625 is the 8724175-th square number.

76111229430625 is the 4362088-th centered octagonal number.

It is an amenable number.

76111229430625 is a deficient number, since it is larger than the sum of its proper divisors (22173081281006).

76111229430625 is an frugal number, since it uses more digits than its factorization.

76111229430625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22596 (or 11293 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 76111229430625 in words is "seventy-six trillion, one hundred eleven billion, two hundred twenty-nine million, four hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 25 31 125 155 625 775 961 3875 4805 11257 19375 24025 56285 120125 281425 348967 600625 1407125 1744835 7035625 8724175 10817977 43620875 54089885 126720049 218104375 270449425 633600245 1352247125 3168001225 3928321519 6761235625 15840006125 19641607595 79200030625 98208037975 121777967089 491040189875 608889835445 2455200949375 3044449177225 15222245886125 76111229430625