Search a number
-
+
21883796272144 = 24229251072
BaseRepresentation
bin1001111100111001101111…
…11001110011010000010000
32212111001220101111100111101
410332130313321303100100
510332021003321202034
6114313135513554144
74416023605106242
oct476346771632020
985431811440441
1021883796272144
116a779585391a4
122555287115954
13c2982ccc1411
14559277a46092
1527e3ab2de514
hex13e737e73410

21883796272144 has 45 divisors (see below), whose sum is σ = 42594156356157. Its totient is φ = 10891983748032.

The previous prime is 21883796272141. The next prime is 21883796272159. The reversal of 21883796272144 is 44127269738812.

The square root of 21883796272144 is 4678012.

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., 20381504809744 + 1502291462400 = 4514588^2 + 1225680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21883796272141) 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, 4285056439 + ... + 4285061545.

Almost surely, 221883796272144 is an apocalyptic number.

21883796272144 is the 4678012-nd square number.

It is an amenable number.

21883796272144 is a deficient number, since it is larger than the sum of its proper divisors (20710360084013).

21883796272144 is an frugal number, since it uses more digits than its factorization.

21883796272144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10680 (or 5338 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 64.

The spelling of 21883796272144 in words is "twenty-one trillion, eight hundred eighty-three billion, seven hundred ninety-six million, two hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 229 458 916 1832 3664 5107 10214 20428 40856 52441 81712 104882 209764 419528 839056 1169503 2339006 4678012 9356024 18712048 26081449 52162898 104325796 208651592 267816187 417303184 535632374 1071264748 2142529496 4285058992 5972651821 11945303642 23890607284 47781214568 95562429136 1367737267009 2735474534018 5470949068036 10941898136072 21883796272144