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38946233105 = 5133673163129
BaseRepresentation
bin100100010001011000…
…000101101100010001
310201112020012122001222
4210101120011230101
51114230213424410
625520332534425
72546060343053
oct442130055421
9121466178058
1038946233105
111557615140a
12766b021415
13389896b560
141c566658d3
15102e234955
hex911605b11

38946233105 has 16 divisors (see below), whose sum is σ = 50344528080. Its totient is φ = 28752288768.

The previous prime is 38946233099. The next prime is 38946233129. The reversal of 38946233105 is 50133264983.

It is a Cunningham number, because it is equal to 1973482+1.

It can be written as a sum of positive squares in 8 ways, for example, as 15015071296 + 23931161809 = 122536^2 + 154697^2 .

It is a cyclic number.

It is not a de Polignac number, because 38946233105 - 24 = 38946233089 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157181 + ... + 320309.

It is an arithmetic number, because the mean of its divisors is an integer number (3146533005).

Almost surely, 238946233105 is an apocalyptic number.

It is an amenable number.

38946233105 is a deficient number, since it is larger than the sum of its proper divisors (11398294975).

38946233105 is a wasteful number, since it uses less digits than its factorization.

38946233105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166820.

The product of its (nonzero) digits is 466560, while the sum is 44.

The spelling of 38946233105 in words is "thirty-eight billion, nine hundred forty-six million, two hundred thirty-three thousand, one hundred five".

Divisors: 1 5 13 65 3673 18365 47749 163129 238745 815645 2120677 10603385 599172817 2995864085 7789246621 38946233105