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18817341706816 = 265422372
BaseRepresentation
bin1000100011101010000001…
…11101111101001001000000
32110121220211220020101012221
410101311000331331021000
54431300403434104231
6104004322322300424
73651336161263552
oct421650075751100
973556756211187
1018817341706816
115aa543190aa54
12213ab157b7714
13a66610730913
14490a9ad614d2
1522973786dd11
hex111d40f7d240

18817341706816 has 21 divisors (see below), whose sum is σ = 37340731313689. Its totient is φ = 9408653501824.

The previous prime is 18817341706747. The next prime is 18817341706843. The reversal of 18817341706816 is 61860714371881.

It is a happy number.

The square root of 18817341706816 is 4337896.

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., 18337236840000 + 480104866816 = 4282200^2 + 692896^2 .

It is a super-2 number, since 2×188173417068162 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 34432050 + ... + 34974286.

Almost surely, 218817341706816 is an apocalyptic number.

18817341706816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18817341706816 is the 4337896-th square number.

It is an amenable number.

18817341706816 is a deficient number, since it is larger than the sum of its proper divisors (18523389606873).

18817341706816 is an frugal number, since it uses more digits than its factorization.

18817341706816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084486 (or 542239 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 61.

The spelling of 18817341706816 in words is "eighteen trillion, eight hundred seventeen billion, three hundred forty-one million, seven hundred six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 542237 1084474 2168948 4337896 8675792 17351584 34703168 294020964169 588041928338 1176083856676 2352167713352 4704335426704 9408670853408 18817341706816