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238330452481 = 112443812
BaseRepresentation
bin1101110111110110011…
…0100001101000000001
3211210011122210102100121
43131331212201220001
512401100043434411
6301253144420241
723135023264222
oct3357546415001
9753148712317
10238330452481
1192091366500
123a234477681
13196225280a4
14b76ca53249
1562ed5c0571
hex377d9a1a01

238330452481 has 9 divisors (see below), whose sum is σ = 261972433219. Its totient is φ = 216659165800.

The previous prime is 238330452463. The next prime is 238330452617. The reversal of 238330452481 is 184254033832.

The square root of 238330452481 is 488191.

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

238330452481 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 only one way, i.e., 93641508081 + 144688944400 = 306009^2 + 380380^2 .

It is not a de Polignac number, because 238330452481 - 25 = 238330452449 is a prime.

It is a super-2 number, since 2×2383304524812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (238330452401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5347911 + ... + 5392291.

Almost surely, 2238330452481 is an apocalyptic number.

238330452481 is the 488191-st square number.

238330452481 is the 244096-th centered octagonal number.

It is an amenable number.

238330452481 is a deficient number, since it is larger than the sum of its proper divisors (23641980738).

238330452481 is an frugal number, since it uses more digits than its factorization.

238330452481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88784 (or 44392 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 238330452481 in words is "two hundred thirty-eight billion, three hundred thirty million, four hundred fifty-two thousand, four hundred eighty-one".

Divisors: 1 11 121 44381 488191 5370101 1969673161 21666404771 238330452481