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163812039169 = 337212012
BaseRepresentation
bin1001100010001111110…
…1010101101000000001
3120122211100020210122211
42120203331111220001
510140441340223134
6203130524302121
714556262234012
oct2304375255001
9518740223584
10163812039169
1163521697659
12278b83a1941
13125a7c5aabc
147cddcdb009
1543db485764
hex2623f55a01

163812039169 has 9 divisors (see below), whose sum is σ = 164436486921. Its totient is φ = 163189958400.

The previous prime is 163812039161. The next prime is 163812039197. The reversal of 163812039169 is 961930218361.

The square root of 163812039169 is 404737.

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

It can be written as a sum of positive squares in 4 ways, for example, as 113585850625 + 50226188544 = 337025^2 + 224112^2 .

It is not a de Polignac number, because 163812039169 - 23 = 163812039161 is a prime.

It is a super-2 number, since 2×1638120391692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (163812039161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 136395769 + ... + 136396969.

It is an arithmetic number, because the mean of its divisors is an integer number (18270720769).

Almost surely, 2163812039169 is an apocalyptic number.

163812039169 is the 404737-th square number.

163812039169 is the 202369-th centered octagonal number.

It is an amenable number.

163812039169 is a deficient number, since it is larger than the sum of its proper divisors (624447752).

163812039169 is an frugal number, since it uses more digits than its factorization.

163812039169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

Multiplying 163812039169 by its sum of digits (49), we get a square (8026789919281 = 28331592).

The spelling of 163812039169 in words is "one hundred sixty-three billion, eight hundred twelve million, thirty-nine thousand, one hundred sixty-nine".

Divisors: 1 337 1201 113569 404737 1442401 136396369 486089137 163812039169