Search a number
-
+
289270751257 = 4127725470701
BaseRepresentation
bin1000011010110011110…
…00010110000000011001
31000122122202221201102001
410031121320112000121
514214411303020012
6340520020041001
726620253546635
oct4153170260031
91018582851361
10289270751257
11101751885984
1248090233161
1321380031007
14100021cddc5
1577d07a2357
hex4359e16019

289270751257 has 8 divisors (see below), whose sum is σ = 297395916552. Its totient is φ = 281196528000.

The previous prime is 289270751219. The next prime is 289270751261. The reversal of 289270751257 is 752157072982.

It can be written as a sum of positive squares in 4 ways, for example, as 27647708176 + 261623043081 = 166276^2 + 511491^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-289270751257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 289270751198 and 289270751207.

It is not an unprimeable number, because it can be changed into a prime (286270751257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12723994 + ... + 12746707.

It is an arithmetic number, because the mean of its divisors is an integer number (37174489569).

Almost surely, 2289270751257 is an apocalyptic number.

It is an amenable number.

289270751257 is a deficient number, since it is larger than the sum of its proper divisors (8125165295).

289270751257 is a wasteful number, since it uses less digits than its factorization.

289270751257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25471019.

The product of its (nonzero) digits is 4939200, while the sum is 55.

The spelling of 289270751257 in words is "two hundred eighty-nine billion, two hundred seventy million, seven hundred fifty-one thousand, two hundred fifty-seven".

Divisors: 1 41 277 11357 25470701 1044298741 7055384177 289270751257