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128504325625 = 5413211032
BaseRepresentation
bin111011110101101110…
…1000110010111111001
3110021200200120010002121
41313223131012113321
54101134101410000
6135011205401241
712166312513444
oct1675335062771
9407620503077
10128504325625
114a553383905
1220aa3a09221
13c16c068400
1463109b065b
1535218c0b1a
hex1deb7465f9

128504325625 has 45 divisors (see below), whose sum is σ = 174039195099. Its totient is φ = 94809468000.

The previous prime is 128504325619. The next prime is 128504325661. The reversal of 128504325625 is 526523405821.

The square root of 128504325625 is 358475.

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 126927600361 + 1576725264 = 356269^2 + 39708^2 .

It is not a de Polignac number, because 128504325625 - 27 = 128504325497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 116503824 + ... + 116504926.

Almost surely, 2128504325625 is an apocalyptic number.

128504325625 is the 358475-th square number.

128504325625 is the 179238-th centered octagonal number.

It is an amenable number.

128504325625 is a deficient number, since it is larger than the sum of its proper divisors (45534869474).

128504325625 is an frugal number, since it uses more digits than its factorization.

128504325625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 128504325625 in words is "one hundred twenty-eight billion, five hundred four million, three hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 169 325 625 845 1103 1625 4225 5515 8125 14339 21125 27575 71695 105625 137875 186407 358475 689375 932035 1216609 1792375 4660175 6083045 8961875 15815917 23300875 30415225 79079585 116504375 152076125 205606921 395397925 760380625 1028034605 1976989625 5140173025 9884948125 25700865125 128504325625