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1395179105329 = 172694812
BaseRepresentation
bin10100010011010111001…
…001111010110000110001
311221101012102121222020101
4110103113021322300301
5140324311322332304
62544534134112401
7202540560503362
oct24232711726061
94841172558211
101395179105329
11498768261819
121a648a7ab701
13a1745bc7b89
144b75424bb69
1526459cd68a4
hex144d727ac31

1395179105329 has 9 divisors (see below), whose sum is σ = 1482097404801. Its totient is φ = 1313090847360.

The previous prime is 1395179105291. The next prime is 1395179105377. The reversal of 1395179105329 is 9235019715931.

It is a happy number.

The square root of 1395179105329 is 1181177.

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

It can be written as a sum of positive squares in 4 ways, for example, as 71409200625 + 1323769904704 = 267225^2 + 1150552^2 .

It is not a de Polignac number, because 1395179105329 - 211 = 1395179103281 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1395179105329.

It is not an unprimeable number, because it can be changed into a prime (1395179105029) 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, 20045269 + ... + 20114749.

Almost surely, 21395179105329 is an apocalyptic number.

1395179105329 is the 1181177-th square number.

1395179105329 is the 590589-th centered octagonal number.

It is an amenable number.

1395179105329 is a deficient number, since it is larger than the sum of its proper divisors (86918299472).

1395179105329 is an frugal number, since it uses more digits than its factorization.

1395179105329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138996 (or 69498 counting only the distinct ones).

The product of its (nonzero) digits is 2296350, while the sum is 55.

The spelling of 1395179105329 in words is "one trillion, three hundred ninety-five billion, one hundred seventy-nine million, one hundred five thousand, three hundred twenty-nine".

Divisors: 1 17 289 69481 1181177 20080009 4827609361 82069359137 1395179105329