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3825741234133 = 7413122568841
BaseRepresentation
bin110111101010111111111…
…100100111111111010101
3111112201220111002012022201
4313222333330213333111
51000140104223443013
612045304331524501
7543254301640000
oct67527774477725
914481814065281
103825741234133
11124554020a695
12519554bb9731
132199c575b660
14d3249c34537
15697b28233dd
hex37abff27fd5

3825741234133 has 20 divisors (see below), whose sum is σ = 4806414570188. Its totient is φ = 3026960072640.

The previous prime is 3825741234103. The next prime is 3825741234137. The reversal of 3825741234133 is 3314321475283.

It can be written as a sum of positive squares in 2 ways, for example, as 2376647723044 + 1449093511089 = 1541638^2 + 1203783^2 .

It is not a de Polignac number, because 3825741234133 - 221 = 3825739136981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3825741234137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61253208 + ... + 61315633.

Almost surely, 23825741234133 is an apocalyptic number.

It is an amenable number.

3825741234133 is a deficient number, since it is larger than the sum of its proper divisors (980673336055).

3825741234133 is an equidigital number, since it uses as much as digits as its factorization.

3825741234133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122568882 (or 122568861 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 46.

The spelling of 3825741234133 in words is "three trillion, eight hundred twenty-five billion, seven hundred forty-one million, two hundred thirty-four thousand, one hundred thirty-three".

Divisors: 1 7 13 49 91 343 637 2401 4459 31213 122568841 857981887 1593394933 6005873209 11153764531 42041112463 78076351717 294287787241 546534462019 3825741234133