Search a number
-
+
2530755816953 = 72134196900709
BaseRepresentation
bin100100110100111100110…
…011010010110111111001
322221221022201112221112012
4210310330303102313321
5312430441442120303
65214340240055305
7350561326340300
oct44647463226771
98857281487465
102530755816953
11896318755821
1234a589004535
1315485952a5b0
148a6bc665437
1545c6dc855d8
hex24d3ccd2df9

2530755816953 has 24 divisors (see below), whose sum is σ = 3247724196360. Its totient is φ = 1953518273280.

The previous prime is 2530755816947. The next prime is 2530755817111. The reversal of 2530755816953 is 3596185570352.

It can be written as a sum of positive squares in 4 ways, for example, as 144710246464 + 2386045570489 = 380408^2 + 1544683^2 .

It is not a de Polignac number, because 2530755816953 - 26 = 2530755816889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2530755816892 and 2530755816901.

It is not an unprimeable number, because it can be changed into a prime (2530755818953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48424238 + ... + 48476471.

It is an arithmetic number, because the mean of its divisors is an integer number (135321841515).

Almost surely, 22530755816953 is an apocalyptic number.

It is an amenable number.

2530755816953 is a deficient number, since it is larger than the sum of its proper divisors (716968379407).

2530755816953 is a wasteful number, since it uses less digits than its factorization.

2530755816953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96900777 (or 96900770 counting only the distinct ones).

The product of its (nonzero) digits is 34020000, while the sum is 59.

The spelling of 2530755816953 in words is "two trillion, five hundred thirty billion, seven hundred fifty-five million, eight hundred sixteen thousand, nine hundred fifty-three".

Divisors: 1 7 13 41 49 91 287 533 637 2009 3731 26117 96900709 678304963 1259709217 3972929069 4748134741 8817964519 27810503483 51648077897 61725751633 194673524381 361536545279 2530755816953