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38582048988025 = 5212422892
BaseRepresentation
bin10001100010111000101010…
…10100110001101101111001
312001121102000022221022202021
420301130111110301231321
520024112014020104100
6214020203145034441
711061314066232544
oct1061342524615571
9161542008838667
1038582048988025
11113256119048a4
1243b1562185a21
13186b36b952c1a
14975549b9585b
1546d91ab7da1a
hex231715531b79

38582048988025 has 9 divisors (see below), whose sum is σ = 47841779256141. Its totient is φ = 30865614344640.

The previous prime is 38582048988019. The next prime is 38582048988029. The reversal of 38582048988025 is 52088984028583.

The square root of 38582048988025 is 6211445.

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

38582048988025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2706692911209 + 35875356076816 = 1645203^2 + 5989604^2 .

It is not a de Polignac number, because 38582048988025 - 27 = 38582048987897 is a prime.

It is a super-2 number, since 2×385820489880252 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38582048988029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30436081 + ... + 31678369.

Almost surely, 238582048988025 is an apocalyptic number.

38582048988025 is the 6211445-th square number.

38582048988025 is the 3105723-rd centered octagonal number.

It is an amenable number.

38582048988025 is a deficient number, since it is larger than the sum of its proper divisors (9259730268116).

38582048988025 is an frugal number, since it uses more digits than its factorization.

38582048988025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484588 (or 1242294 counting only the distinct ones).

The product of its (nonzero) digits is 353894400, while the sum is 70.

The spelling of 38582048988025 in words is "thirty-eight trillion, five hundred eighty-two billion, forty-eight million, nine hundred eighty-eight thousand, twenty-five".

Divisors: 1 5 25 1242289 6211445 31057225 1543281959521 7716409797605 38582048988025