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121748655625 = 541728212
BaseRepresentation
bin111000101100011001…
…0010000111000001001
3102122020212120112001121
41301120302100320021
53443320123440000
6131533000115241
711540021332522
oct1613062207011
9378225515047
10121748655625
11476a6a3aa63
121b719465b21
13b63356b13c
145c6d695849
15327876ab1a
hex1c58c90e09

121748655625 has 45 divisors (see below), whose sum is σ = 161809876921. Its totient is φ = 91557920000.

The previous prime is 121748655599. The next prime is 121748655641. The reversal of 121748655625 is 526556847121.

The square root of 121748655625 is 348925.

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

It can be written as a sum of positive squares in 22 ways, for example, as 115744885369 + 6003770256 = 340213^2 + 77484^2 .

It is not a de Polignac number, because 121748655625 - 25 = 121748655593 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, 148292715 + ... + 148293535.

Almost surely, 2121748655625 is an apocalyptic number.

121748655625 is the 348925-th square number.

121748655625 is the 174463-rd centered octagonal number.

It is an amenable number.

121748655625 is a deficient number, since it is larger than the sum of its proper divisors (40061221296).

121748655625 is an frugal number, since it uses more digits than its factorization.

121748655625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 843 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 52.

The spelling of 121748655625 in words is "one hundred twenty-one billion, seven hundred forty-eight million, six hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 17 25 85 125 289 425 625 821 1445 2125 4105 7225 10625 13957 20525 36125 69785 102625 180625 237269 348925 513125 674041 1186345 1744625 3370205 5931725 8723125 11458697 16851025 29658625 57293485 84255125 148293125 194797849 286467425 421275625 973989245 1432337125 4869946225 7161685625 24349731125 121748655625