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238463258929 = 72697612
BaseRepresentation
bin1101111000010110000…
…1001001000100110001
3211210111220200200112221
43132011201021010301
512401333043241204
6301314251121041
723141225154100
oct3360541110461
9753456620487
10238463258929
119214a3249a5
123a270a43181
1319643bb709c
14b782544037
15630a0a5654
hex3785849131

238463258929 has 9 divisors (see below), whose sum is σ = 277400012331. Its totient is φ = 204394149120.

The previous prime is 238463258881. The next prime is 238463259007. The reversal of 238463258929 is 929852364832.

It is a happy number.

The square root of 238463258929 is 488327.

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

It can be written as a sum of positive squares in only one way, i.e., 184192897329 + 54270361600 = 429177^2 + 232960^2 .

It is not a de Polignac number, because 238463258929 - 29 = 238463258417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (238463258129) 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, 3383409 + ... + 3453169.

Almost surely, 2238463258929 is an apocalyptic number.

238463258929 is the 488327-th square number.

238463258929 is the 244164-th centered octagonal number.

It is an amenable number.

238463258929 is a deficient number, since it is larger than the sum of its proper divisors (38936753402).

238463258929 is an frugal number, since it uses more digits than its factorization.

238463258929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139536 (or 69768 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 61.

The spelling of 238463258929 in words is "two hundred thirty-eight billion, four hundred sixty-three million, two hundred fifty-eight thousand, nine hundred twenty-nine".

Divisors: 1 7 49 69761 488327 3418289 4866597121 34066179847 238463258929