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3387434231925 = 325286201174653
BaseRepresentation
bin110001010010110010110…
…100000110100001110101
3102222211120010010111012100
4301102302310012201311
5420444431130410200
611112055451412313
7466506530614542
oct61226264064165
912884503114170
103387434231925
11109666a34a587
12468610a54099
131b7583a35103
14b9d4a285bc9
155d1acdb1d00
hex314b2d06875

3387434231925 has 36 divisors (see below), whose sum is σ = 6067376215524. Its totient is φ = 1806600288000.

The previous prime is 3387434231921. The next prime is 3387434231947. The reversal of 3387434231925 is 5291324347833.

3387434231925 is a `hidden beast` number, since 3 + 387 + 4 + 3 + 4 + 231 + 9 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1662753512484 + 1724680719441 = 1289478^2 + 1313271^2 .

It is not a de Polignac number, because 3387434231925 - 22 = 3387434231921 is a prime.

It is a super-2 number, since 2×33874342319252 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3387434231921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19307899 + ... + 19482551.

It is an arithmetic number, because the mean of its divisors is an integer number (168538228209).

Almost surely, 23387434231925 is an apocalyptic number.

It is an amenable number.

3387434231925 is a deficient number, since it is larger than the sum of its proper divisors (2679941983599).

3387434231925 is a wasteful number, since it uses less digits than its factorization.

3387434231925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260870 (or 260862 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 3387434231925 in words is "three trillion, three hundred eighty-seven billion, four hundred thirty-four million, two hundred thirty-one thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 86201 174653 258603 431005 523959 775809 873265 1293015 1571877 2155025 2619795 3879045 4366325 6465075 7859385 13098975 19395225 39296925 15055263253 45165789759 75276316265 135497369277 225828948795 376381581325 677486846385 1129144743975 3387434231925