Search a number
-
+
20067838921 = 1321726412
BaseRepresentation
bin10010101100001000…
…101110101111001001
31220210120011211202101
4102230020232233021
5312044331321141
613115151233401
71310204550004
oct225410565711
956716154671
1020067838921
118568854449
123a80818861
131b7a76a900
14d8530453b
157c6bbb531
hex4ac22ebc9

20067838921 has 27 divisors (see below), whose sum is σ = 23119773663. Its totient is φ = 17407303680.

The previous prime is 20067838909. The next prime is 20067838927. The reversal of 20067838921 is 12983876002.

The square root of 20067838921 is 141661.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3224990521 + 16842848400 = 56789^2 + 129780^2 .

It is not a de Polignac number, because 20067838921 - 27 = 20067838793 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20067838927) 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 26 ways as a sum of consecutive naturals, for example, 31306761 + ... + 31307401.

Almost surely, 220067838921 is an apocalyptic number.

20067838921 is the 141661-st square number.

20067838921 is the 70831-st centered octagonal number.

It is an amenable number.

20067838921 is a deficient number, since it is larger than the sum of its proper divisors (3051934742).

20067838921 is an frugal number, since it uses more digits than its factorization.

20067838921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 20067838921 in words is "twenty billion, sixty-seven million, eight hundred thirty-eight thousand, nine hundred twenty-one".

Divisors: 1 13 17 169 221 289 641 2873 3757 8333 10897 48841 108329 141661 185249 410881 1841593 2408237 5341453 6984977 31307081 69438889 90804701 118744609 1180461113 1543679917 20067838921