Search a number
-
+
2321727073245 = 325277186259693
BaseRepresentation
bin100001110010010001101…
…101111010101111011101
322012221210011002120001200
4201302101231322233131
5301014344112320440
64534330420430113
7326511363335316
oct41622155725735
98187704076050
102321727073245
11815703450868
12315b71848339
1313ac26805c28
148052d40960d
15405d7d57c30
hex21c91b7abdd

2321727073245 has 24 divisors (see below), whose sum is σ = 4038855204696. Its totient is φ = 1233784199808.

The previous prime is 2321727073217. The next prime is 2321727073273. The reversal of 2321727073245 is 5423707271232.

2321727073245 is a `hidden beast` number, since 232 + 172 + 7 + 0 + 7 + 3 + 245 = 666.

It is an interprime number because it is at equal distance from previous prime (2321727073217) and next prime (2321727073273).

It can be written as a sum of positive squares in 4 ways, for example, as 83667609 + 2321643405636 = 9147^2 + 1523694^2 .

It is not a de Polignac number, because 2321727073245 - 26 = 2321727073181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2321727073245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93117382 + ... + 93142311.

It is an arithmetic number, because the mean of its divisors is an integer number (168285633529).

Almost surely, 22321727073245 is an apocalyptic number.

It is an amenable number.

2321727073245 is a deficient number, since it is larger than the sum of its proper divisors (1717128131451).

2321727073245 is a wasteful number, since it uses less digits than its factorization.

2321727073245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186259981 (or 186259978 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 2321727073245 in words is "two trillion, three hundred twenty-one billion, seven hundred twenty-seven million, seventy-three thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 45 277 831 1385 2493 4155 12465 186259693 558779079 931298465 1676337237 2793895395 8381686185 51593934961 154781804883 257969674805 464345414649 773909024415 2321727073245