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38981804218681 = 1453242972
BaseRepresentation
bin10001101110100001010001…
…00101111101100100111001
312010000121211221221010022211
420313100220211331210321
520102134213334444211
6214523554343015121
711132225306515402
oct1067205045754471
9163017757833284
1038981804218681
111146a0aa256385
124456b2743a4a1
131899c7866061c
1498aa2d6409a9
15479015d27e21
hex23742897d939

38981804218681 has 9 divisors (see below), whose sum is σ = 39017731404141. Its totient is φ = 38945910101472.

The previous prime is 38981804218657. The next prime is 38981804218699. The reversal of 38981804218681 is 18681240818983.

It is a happy number.

The square root of 38981804218681 is 6243541.

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

38981804218681 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 14787801031081 + 24194003187600 = 3845491^2 + 4918740^2 .

It is not a de Polignac number, because 38981804218681 - 245 = 3797432129849 is a prime.

It is a super-2 number, since 2×389818042186812 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38981804218631) 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 8 ways as a sum of consecutive naturals, for example, 9071862925 + ... + 9071867221.

It is an arithmetic number, because the mean of its divisors is an integer number (4335303489349).

Almost surely, 238981804218681 is an apocalyptic number.

38981804218681 is the 6243541-st square number.

38981804218681 is the 3121771-st centered octagonal number.

It is an amenable number.

38981804218681 is a deficient number, since it is larger than the sum of its proper divisors (35927185460).

38981804218681 is an frugal number, since it uses more digits than its factorization.

38981804218681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 67.

The spelling of 38981804218681 in words is "thirty-eight trillion, nine hundred eighty-one billion, eight hundred four million, two hundred eighteen thousand, six hundred eighty-one".

Divisors: 1 1453 4297 2111209 6243541 18464209 9071865073 26828495677 38981804218681