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238629686401 = 1912779835127
BaseRepresentation
bin1101111000111101110…
…0000000110010000001
3211210221111212002010101
43132033130000302001
512402203144431101
6301342554202401
723145315603301
oct3361734006201
9753844762111
10238629686401
1192225267367
123a2b8723401
131966c518292
14b79a6a7601
1563199cc401
hex378f700c81

238629686401 has 8 divisors (see below), whose sum is σ = 251385871680. Its totient is φ = 225893173968.

The previous prime is 238629686387. The next prime is 238629686431. The reversal of 238629686401 is 104686926832.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 238629686401 - 211 = 238629684353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (238629686431) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4893301 + ... + 4941826.

It is an arithmetic number, because the mean of its divisors is an integer number (31423233960).

Almost surely, 2238629686401 is an apocalyptic number.

It is an amenable number.

238629686401 is a deficient number, since it is larger than the sum of its proper divisors (12756185279).

238629686401 is a wasteful number, since it uses less digits than its factorization.

238629686401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9836423.

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 238629686401 in words is "two hundred thirty-eight billion, six hundred twenty-nine million, six hundred eighty-six thousand, four hundred one".

Divisors: 1 19 1277 24263 9835127 186867413 12559457179 238629686401