Search a number
-
+
19932447788929 = 13247273072
BaseRepresentation
bin1001000100000111000100…
…11110000100111110000001
32121120112010120001121221101
410202003202132010332001
510103033123113221204
6110220501243454401
74125033431504044
oct442034236047601
977515116047841
1019932447788929
116395338159025
12229b060527401
13b17811017c00
144cca42784c5b
1524874e5daea4
hex1220e2784f81

19932447788929 has 27 divisors (see below), whose sum is σ = 22055672427267. Its totient is φ = 18005246158224.

The previous prime is 19932447788879. The next prime is 19932447788933. The reversal of 19932447788929 is 92988774423991.

The square root of 19932447788929 is 4464577.

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., 2948586951025 + 16983860837904 = 1717145^2 + 4121148^2 .

It is not a de Polignac number, because 19932447788929 - 237 = 19795008835457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19932447788129) 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, 2727852894 + ... + 2727860200.

Almost surely, 219932447788929 is an apocalyptic number.

19932447788929 is the 4464577-th square number.

19932447788929 is the 2232289-th centered octagonal number.

It is an amenable number.

19932447788929 is a deficient number, since it is larger than the sum of its proper divisors (2123224638338).

19932447788929 is an frugal number, since it uses more digits than its factorization.

19932447788929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14734 (or 7367 counting only the distinct ones).

The product of its digits is 3950456832, while the sum is 82.

The spelling of 19932447788929 in words is "nineteen trillion, nine hundred thirty-two billion, four hundred forty-seven million, seven hundred eighty-eight thousand, nine hundred twenty-nine".

Divisors: 1 13 47 169 611 2209 7307 7943 28717 94991 343429 373321 1234883 4464577 16141163 53392249 58039501 209835119 694099237 2509435703 2727856547 9023290081 32622664139 117943478041 424094633807 1533265214533 19932447788929