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2182743262921 = 1321136472
BaseRepresentation
bin11111110000110101101…
…000110000011011001001
321201200001010112110111011
4133300311220300123021
5241230224233403141
64350423255203521
7313461261416164
oct37606550603311
97650033473434
102182743262921
11771772739001
122b30443765a1
1312aaa762c100
1477906b40adb
153bba1464881
hex1fc35a306c9

2182743262921 has 9 divisors (see below), whose sum is σ = 2363583029031. Its totient is φ = 2014822206072.

The previous prime is 2182743262877. The next prime is 2182743262949. The reversal of 2182743262921 is 1292623472812.

The square root of 2182743262921 is 1477411.

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., 322891015225 + 1859852247696 = 568235^2 + 1363764^2 .

It is not a de Polignac number, because 2182743262921 - 239 = 1632987449033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2182743262991) 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, 19149520 + ... + 19263166.

It is an arithmetic number, because the mean of its divisors is an integer number (262620336559).

Almost surely, 22182743262921 is an apocalyptic number.

2182743262921 is the 1477411-st square number.

2182743262921 is the 738706-th centered octagonal number.

It is an amenable number.

2182743262921 is a deficient number, since it is larger than the sum of its proper divisors (180839766110).

2182743262921 is an frugal number, since it uses more digits than its factorization.

2182743262921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227320 (or 113660 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 49.

Multiplying 2182743262921 by its sum of digits (49), we get a square (106954419883129 = 103418772).

The spelling of 2182743262921 in words is "two trillion, one hundred eighty-two billion, seven hundred forty-three million, two hundred sixty-two thousand, nine hundred twenty-one".

Divisors: 1 13 169 113647 1477411 19206343 12915640609 167903327917 2182743262921