Search a number
-
+
3242279200689 = 32157238232
BaseRepresentation
bin101111001011100110111…
…001100110011110110001
3102110221220000022220000100
4233023212321212132301
5411110141433410224
610521252115343013
7453150462324624
oct57134671463661
912427800286010
103242279200689
1110400520a0151
124444608b1a69
131a6990173599
14b2cda15bdbb
1559514813ac9
hex2f2e6e667b1

3242279200689 has 27 divisors (see below), whose sum is σ = 4714545270123. Its totient is φ = 2147190029712.

The previous prime is 3242279200669. The next prime is 3242279200709. The reversal of 3242279200689 is 9860029722423.

The square root of 3242279200689 is 1800633.

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

3242279200689 is a `hidden beast` number, since 3 + 2 + 422 + 7 + 9 + 200 + 6 + 8 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (3242279200669) and next prime (3242279200709).

It can be written as a sum of positive squares in only one way, i.e., 950361768225 + 2291917432464 = 974865^2 + 1513908^2 .

It is not a de Polignac number, because 3242279200689 - 219 = 3242278676401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3242279200609) 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, 848096232 + ... + 848100054.

Almost surely, 23242279200689 is an apocalyptic number.

3242279200689 is the 1800633-rd square number.

3242279200689 is the 900317-th centered octagonal number.

It is an amenable number.

3242279200689 is a deficient number, since it is larger than the sum of its proper divisors (1472266069434).

3242279200689 is an frugal number, since it uses more digits than its factorization.

3242279200689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7966 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3242279200689 in words is "three trillion, two hundred forty-two billion, two hundred seventy-nine million, two hundred thousand, six hundred eighty-nine".

Divisors: 1 3 9 157 471 1413 3823 11469 24649 34407 73947 221841 600211 1800633 5401899 14615329 43845987 94233127 131537961 282699381 848098143 2294606653 6883819959 20651459877 360253244521 1080759733563 3242279200689