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120838115669 = 7322923773041
BaseRepresentation
bin111000010001010000…
…0110101000101010101
3102112220102020022001112
41300202200311011111
53434434024200134
6131302352104405
711505324015215
oct1604240650525
9375812208045
10120838115669
1147279a698a7
121b504535105
13b519a241bb
145bc4794245
15322385b1ce
hex1c22835155

120838115669 has 16 divisors (see below), whose sum is σ = 123120569520. Its totient is φ = 118573424640.

The previous prime is 120838115647. The next prime is 120838115681. The reversal of 120838115669 is 966511838021.

It can be written as a sum of positive squares in 8 ways, for example, as 34266822769 + 86571292900 = 185113^2 + 294230^2 .

It is a cyclic number.

It is not a de Polignac number, because 120838115669 - 216 = 120838050133 is a prime.

It is a super-2 number, since 2×1208381156692 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120838115609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39734789 + ... + 39737829.

It is an arithmetic number, because the mean of its divisors is an integer number (7695035595).

Almost surely, 2120838115669 is an apocalyptic number.

It is an amenable number.

120838115669 is a deficient number, since it is larger than the sum of its proper divisors (2282453851).

120838115669 is a wasteful number, since it uses less digits than its factorization.

120838115669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5720.

The product of its (nonzero) digits is 622080, while the sum is 50.

The spelling of 120838115669 in words is "one hundred twenty billion, eight hundred thirty-eight million, one hundred fifteen thousand, six hundred sixty-nine".

Divisors: 1 73 229 2377 3041 16717 173521 221993 544333 696389 7228457 39736309 50836397 527677361 1655316653 120838115669