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118112505625 = 545922332
BaseRepresentation
bin110111000000000001…
…1011100111100011001
3102021212110111221222101
41232000003130330121
53413343300140000
6130132104523401
711350636506232
oct1560003347431
9367773457871
10118112505625
1146100480714
121aa83780561
13b1a41419aa
145a067b6089
153114417e6a
hex1b800dcf19

118112505625 has 45 divisors (see below), whose sum is σ = 150784501483. Its totient is φ = 92489816000.

The previous prime is 118112505611. The next prime is 118112505629. The reversal of 118112505625 is 526505211811.

The square root of 118112505625 is 343675.

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 114171679449 + 3940826176 = 337893^2 + 62776^2 .

It is not a de Polignac number, because 118112505625 - 217 = 118112374553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (118112505629) 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 44 ways as a sum of consecutive naturals, for example, 506920509 + ... + 506920741.

Almost surely, 2118112505625 is an apocalyptic number.

118112505625 is the 343675-th square number.

118112505625 is the 171838-th centered octagonal number.

It is an amenable number.

118112505625 is a deficient number, since it is larger than the sum of its proper divisors (32671995858).

118112505625 is an frugal number, since it uses more digits than its factorization.

118112505625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 37.

The spelling of 118112505625 in words is "one hundred eighteen billion, one hundred twelve million, five hundred five thousand, six hundred twenty-five".

Divisors: 1 5 25 59 125 233 295 625 1165 1475 3481 5825 7375 13747 17405 29125 36875 54289 68735 87025 145625 271445 343675 435125 811073 1357225 1718375 2175625 3203051 4055365 6786125 8591875 16015255 20276825 33930625 80076275 101384125 188980009 400381375 506920625 944900045 2001906875 4724500225 23622501125 118112505625