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938531360353681 = 53881107761161641
BaseRepresentation
bin1101010101100101101101110…
…0010110000010110110010001
311120002001201111012011122222001
43111121123130112002312101
51441003344211222304211
613124031204344314001
7401454440013104053
oct32531333426026621
94502051435148861
10938531360353681
11252054a07504016
12893197b9772901
133138c1872348a3
14127a92358ad8d3
15737854b63aac1
hex35596dc582d91

938531360353681 has 8 divisors (see below), whose sum is σ = 938563294921928. Its totient is φ = 938499426432000.

The previous prime is 938531360353679. The next prime is 938531360353729. The reversal of 938531360353681 is 186353063135839.

938531360353681 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 4 ways, for example, as 71855443144081 + 866675917209600 = 8476759^2 + 29439360^2 .

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

It is a 3-Lehmer number, since φ(938531360353681) divides (938531360353681-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 938531360353681 - 21 = 938531360353679 is a prime.

It is a super-2 number, since 2×9385313603536812 (a number of 31 digits) contains 22 as substring.

It is a deceptive number, since it divides R938531360353680.

It is not an unprimeable number, because it can be changed into a prime (938531360353651) by changing a digit.

It is a Zeisel number, with parameters (1, 53880).

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5806189621 + ... + 5806351261.

It is an arithmetic number, because the mean of its divisors is an integer number (117320411865241).

It is a Poulet number, since it divides 2938531360353680-1.

Almost surely, 2938531360353681 is an apocalyptic number.

It is an amenable number.

938531360353681 is a deficient number, since it is larger than the sum of its proper divisors (31934568247).

938531360353681 is a wasteful number, since it uses less digits than its factorization.

938531360353681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323283.

The product of its (nonzero) digits is 125971200, while the sum is 64.

The spelling of 938531360353681 in words is "nine hundred thirty-eight trillion, five hundred thirty-one billion, three hundred sixty million, three hundred fifty-three thousand, six hundred eighty-one".

Divisors: 1 53881 107761 161641 5806270441 8709378721 17418595801 938531360353681