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48068370025 = 5213233732
BaseRepresentation
bin101100110001000110…
…010001111001101001
311121001222010012102221
4230301012101321221
51241421000320100
634025435554041
73321115255324
oct546106217151
9147058105387
1048068370025
1119427383945
129395bbb921
1346c0813300
14247dd917bb
1513b4eda01a
hexb31191e69

48068370025 has 27 divisors (see below), whose sum is σ = 64561593519. Its totient is φ = 35486118720.

The previous prime is 48068370001. The next prime is 48068370037. The reversal of 48068370025 is 52007386084.

The square root of 48068370025 is 219245.

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

It can be written as a sum of positive squares in 13 ways, for example, as 16952821209 + 31115548816 = 130203^2 + 176396^2 .

It is not a de Polignac number, because 48068370025 - 215 = 48068337257 is a prime.

It is a super-3 number, since 3×480683700253 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 14249239 + ... + 14252611.

Almost surely, 248068370025 is an apocalyptic number.

48068370025 is the 219245-th square number.

48068370025 is the 109623-rd centered octagonal number.

It is an amenable number.

48068370025 is a deficient number, since it is larger than the sum of its proper divisors (16493223494).

48068370025 is an frugal number, since it uses more digits than its factorization.

48068370025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6782 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 48068370025 in words is "forty-eight billion, sixty-eight million, three hundred seventy thousand, twenty-five".

Divisors: 1 5 13 25 65 169 325 845 3373 4225 16865 43849 84325 219245 570037 1096225 2850185 11377129 14250925 56885645 147902677 284428225 739513385 1922734801 3697566925 9613674005 48068370025