Search a number
-
+
32793225921 = 361923532
BaseRepresentation
bin11110100010101000…
…001110101011000001
310010122102020111000000
4132202220032223001
51014130031212141
623022012350213
72240434551441
oct364250165301
9103572214000
1032793225921
11129a8a15005
126432475369
133127c8cbc1
1418313c8121
15cbde765b6
hex7a2a0eac1

32793225921 has 63 divisors (see below), whose sum is σ = 52038716979. Its totient is φ = 20652838272.

The previous prime is 32793225863. The next prime is 32793225931. The reversal of 32793225921 is 12952239723.

The square root of 32793225921 is 181089.

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

32793225921 is a `hidden beast` number, since 3 + 27 + 9 + 32 + 2 + 592 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13322930625 + 19470295296 = 115425^2 + 139536^2 .

It is not a de Polignac number, because 32793225921 - 213 = 32793217729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32793225931) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 92898481 + ... + 92898833.

Almost surely, 232793225921 is an apocalyptic number.

32793225921 is the 181089-th square number.

32793225921 is the 90545-th centered octagonal number.

It is an amenable number.

32793225921 is a deficient number, since it is larger than the sum of its proper divisors (19245491058).

32793225921 is an frugal number, since it uses more digits than its factorization.

32793225921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 375 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 32793225921 in words is "thirty-two billion, seven hundred ninety-three million, two hundred twenty-five thousand, nine hundred twenty-one".

Divisors: 1 3 9 19 27 57 81 171 243 353 361 513 729 1059 1083 1539 3177 3249 4617 6707 9531 9747 13851 20121 28593 29241 60363 85779 87723 124609 127433 181089 257337 263169 373827 382299 543267 1121481 1146897 1629801 2367571 3364443 3440691 4889403 7102713 10093329 10322073 21308139 30279987 30966219 44983849 63924417 90839961 92898657 134951547 191773251 404854641 575319753 1214563923 1725959259 3643691769 10931075307 32793225921