Search a number
-
+
20371567441 = 53226932
BaseRepresentation
bin10010111110001111…
…010111001101010001
31221120201200211221211
4102332033113031101
5313210110124231
613205241220121
71320553315621
oct227617271521
957521624854
1020371567441
118704245155
123b46491641
131bc8672824
14db37a8881
157e36b4eb1
hex4be3d7351

20371567441 has 9 divisors (see below), whose sum is σ = 20770901809. Its totient is φ = 19979776336.

The previous prime is 20371567417. The next prime is 20371567457. The reversal of 20371567441 is 14476517302.

The square root of 20371567441 is 142729.

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 388917841 + 19982649600 = 19721^2 + 141360^2 .

It is not a de Polignac number, because 20371567441 - 25 = 20371567409 is a prime.

It is a super-2 number, since 2×203715674412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20371567394 and 20371567403.

It is not an unprimeable number, because it can be changed into a prime (20371567471) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7563291 + ... + 7565983.

Almost surely, 220371567441 is an apocalyptic number.

20371567441 is the 142729-th square number.

20371567441 is the 71365-th centered octagonal number.

It is an amenable number.

20371567441 is a deficient number, since it is larger than the sum of its proper divisors (399334368).

20371567441 is an frugal number, since it uses more digits than its factorization.

20371567441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5492 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 20371567441 in words is "twenty billion, three hundred seventy-one million, five hundred sixty-seven thousand, four hundred forty-one".

Divisors: 1 53 2693 2809 142729 7252249 7564637 384369197 20371567441