Search a number
-
+
2188125576001 = 2983210952621
BaseRepresentation
bin11111110101110110011…
…100101001101101000001
321202011221020022022000001
4133311312130221231001
5241322240121413001
64353113325000001
7314041535342101
oct37656634515501
97664836268001
102188125576001
11773a84930532
122b40a69b3001
1312b454748951
1477c978c1201
153bdb8c39001
hex1fd76729b41

2188125576001 has 12 divisors (see below), whose sum is σ = 2291178996180. Its totient is φ = 2087218888160.

The previous prime is 2188125575989. The next prime is 2188125576061. The reversal of 2188125576001 is 1006755218812.

It can be written as a sum of positive squares in 2 ways, for example, as 720671957776 + 1467453618225 = 848924^2 + 1211385^2 .

It is not a de Polignac number, because 2188125576001 - 213 = 2188125567809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2188125576061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5276530 + ... + 5676091.

It is an arithmetic number, because the mean of its divisors is an integer number (190931583015).

Almost surely, 22188125576001 is an apocalyptic number.

It is an amenable number.

2188125576001 is a deficient number, since it is larger than the sum of its proper divisors (103053420179).

2188125576001 is an equidigital number, since it uses as much as digits as its factorization.

2188125576001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10952816 (or 10952733 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 46.

The spelling of 2188125576001 in words is "two trillion, one hundred eighty-eight billion, one hundred twenty-five million, five hundred seventy-six thousand, one".

Divisors: 1 29 83 2407 6889 199781 10952621 317626009 909067543 26362958747 75452606069 2188125576001