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238430053849 = 132375612
BaseRepresentation
bin1101111000001110001…
…0011110010111011001
3211210102121012200202011
43132003202132113121
512401301043210344
6301311103305521
723140343006221
oct3360342362731
9753377180664
10238430053849
1192132605489
123a2618ab2a1
131963a05c300
14b77bd7d081
1563071e6d34
hex378389e5d9

238430053849 has 9 divisors (see below), whose sum is σ = 258188529789. Its totient is φ = 220083420960.

The previous prime is 238430053789. The next prime is 238430053853. The reversal of 238430053849 is 948350034832.

The square root of 238430053849 is 488293.

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

It can be written as a sum of positive squares in 4 ways, for example, as 140628750025 + 97801303824 = 375005^2 + 312732^2 .

It is not a de Polignac number, because 238430053849 - 27 = 238430053721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (238430053349) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6329029 + ... + 6366589.

It is an arithmetic number, because the mean of its divisors is an integer number (28687614421).

Almost surely, 2238430053849 is an apocalyptic number.

238430053849 is the 488293-rd square number.

238430053849 is the 244147-th centered octagonal number.

It is an amenable number.

238430053849 is a deficient number, since it is larger than the sum of its proper divisors (19758475940).

238430053849 is an frugal number, since it uses more digits than its factorization.

238430053849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75148 (or 37574 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

Multiplying 238430053849 by its sum of digits (49), we get a square (11683072638601 = 34180512).

The spelling of 238430053849 in words is "two hundred thirty-eight billion, four hundred thirty million, fifty-three thousand, eight hundred forty-nine".

Divisors: 1 13 169 37561 488293 6347809 1410828721 18340773373 238430053849