Search a number
-
+
289270789921 = 211225492
BaseRepresentation
bin1000011010110011110…
…00011111011100100001
31000122122210000200110001
410031121320133130201
514214411310234141
6340520020540001
726620254100441
oct4153170373441
91018583020401
10289270789921
11101751901a33
1248090251601
13213800457a9
1410002200121
1577d07ada31
hex4359e1f721

289270789921 has 9 divisors (see below), whose sum is σ = 290762308083. Its totient is φ = 287786892120.

The previous prime is 289270789897. The next prime is 289270789963. The reversal of 289270789921 is 129987072982.

The square root of 289270789921 is 537839.

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., 267455499921 + 21815290000 = 517161^2 + 147700^2 .

It is not a de Polignac number, because 289270789921 - 211 = 289270787873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (289270789981) 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, 113482755 + ... + 113485303.

Almost surely, 2289270789921 is an apocalyptic number.

289270789921 is the 537839-th square number.

289270789921 is the 268920-th centered octagonal number.

It is an amenable number.

289270789921 is a deficient number, since it is larger than the sum of its proper divisors (1491518162).

289270789921 is an frugal number, since it uses more digits than its factorization.

289270789921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5520 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 64.

Multiplying 289270789921 by its sum of digits (64), we get a square (18513330554944 = 43027122).

The spelling of 289270789921 in words is "two hundred eighty-nine billion, two hundred seventy million, seven hundred eighty-nine thousand, nine hundred twenty-one".

Divisors: 1 211 2549 44521 537839 6497401 113484029 1370951611 289270789921