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238052238646656 = 27371720032600837
BaseRepresentation
bin110110001000000111011011…
…000111110101110110000000
31011012212120102210221102102210
4312020013123013311312000
5222200221441043143111
62202143404432142120
7101066464251135540
oct6610073307656600
91135776383842383
10238052238646656
116993a429785a95
1222848151097940
13a2aa2caaa5195
1442adb0b3db320
151c7c441e760a6
hexd881db1f5d80

238052238646656 has 256 divisors, whose sum is σ = 765550215221760. Its totient is φ = 63982063681536.

The previous prime is 238052238646609. The next prime is 238052238646657. The reversal of 238052238646656 is 656646832250832.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238052238646657) 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 31 ways as a sum of consecutive naturals, for example, 90228670 + ... + 92829506.

It is an arithmetic number, because the mean of its divisors is an integer number (2990430528210).

Almost surely, 2238052238646656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238052238646656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382775107610880).

238052238646656 is an abundant number, since it is smaller than the sum of its proper divisors (527497976575104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

238052238646656 is a wasteful number, since it uses less digits than its factorization.

238052238646656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602881 (or 2602869 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 66.

The spelling of 238052238646656 in words is "two hundred thirty-eight trillion, fifty-two billion, two hundred thirty-eight million, six hundred forty-six thousand, six hundred fifty-six".