Search a number
-
+
38419528081 = 11210321732
BaseRepresentation
bin100011110001111110…
…110111100110010001
310200011112010020121111
4203301332313212101
51112140344344311
625352155453321
72530033412644
oct436176674621
9120145106544
1038419528081
1115325905100
127542757241
1338137c618c
141c0671ba5b
15eecd93d21
hex8f1fb7991

38419528081 has 27 divisors (see below), whose sum is σ = 42891627387. Its totient is φ = 34387818960.

The previous prime is 38419528079. The next prime is 38419528093. The reversal of 38419528081 is 18082591483.

It is a happy number.

The square root of 38419528081 is 196009.

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., 34948433025 + 3471095056 = 186945^2 + 58916^2 .

It is not a de Polignac number, because 38419528081 - 21 = 38419528079 is a prime.

It is a super-2 number, since 2×384195280812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38419528031) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 222078111 + ... + 222078283.

Almost surely, 238419528081 is an apocalyptic number.

38419528081 is the 196009-th square number.

38419528081 is the 98005-th centered octagonal number.

It is an amenable number.

38419528081 is a deficient number, since it is larger than the sum of its proper divisors (4472099306).

38419528081 is an equidigital number, since it uses as much as digits as its factorization.

38419528081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

Multiplying 38419528081 by its sum of digits (49), we get a square (1882556875969 = 13720632).

The spelling of 38419528081 in words is "thirty-eight billion, four hundred nineteen million, five hundred twenty-eight thousand, eighty-one".

Divisors: 1 11 103 121 173 1133 1903 10609 12463 17819 20933 29929 116699 196009 329219 1283689 1835357 2156099 3082687 3621409 20188927 33909557 222078197 317516761 373005127 3492684371 38419528081