Search a number
-
+
84281637969 = 34322572
BaseRepresentation
bin100111001111110010…
…0111011110001010001
322001112201202211010000
41032133210323301101
52340102044403334
6102415104000213
76042402050064
oct1163744736121
9261481684100
1084281637969
113281a873061
1214401900069
137c421c55c9
1441176828db
1522d4327299
hex139f93bc51

84281637969 has 15 divisors (see below), whose sum is σ = 125906103147. Its totient is φ = 56186016768.

The previous prime is 84281637967. The next prime is 84281637997. The reversal of 84281637969 is 96973618248.

The square root of 84281637969 is 290313.

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., 21825630225 + 62456007744 = 147735^2 + 249912^2 .

It is not a de Polignac number, because 84281637969 - 21 = 84281637967 is a prime.

It is a super-2 number, since 2×842816379692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84281637967) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2596689 + ... + 2628945.

Almost surely, 284281637969 is an apocalyptic number.

84281637969 is the 290313-rd square number.

84281637969 is the 145157-th centered octagonal number.

It is an amenable number.

84281637969 is a deficient number, since it is larger than the sum of its proper divisors (41624465178).

84281637969 is an frugal number, since it uses more digits than its factorization.

84281637969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64526 (or 32260 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 84281637969 in words is "eighty-four billion, two hundred eighty-one million, six hundred thirty-seven thousand, nine hundred sixty-nine".

Divisors: 1 3 9 27 81 32257 96771 290313 870939 2612817 1040514049 3121542147 9364626441 28093879323 84281637969