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8225738541 = 331717920999
BaseRepresentation
bin1111010100100101…
…01100111100101101
3210020021011210222000
413222102230330231
5113321242113131
63440122042513
7410561424006
oct75222547455
923207153860
108225738541
113541240129
121716949439
13a1123c817
1458066a1ad
1533223ace6
hex1ea4acf2d

8225738541 has 16 divisors (see below), whose sum is σ = 12903120000. Its totient is φ = 5161247424.

The previous prime is 8225738531. The next prime is 8225738569. The reversal of 8225738541 is 1458375228.

8225738541 is a `hidden beast` number, since 8 + 22 + 57 + 38 + 541 = 666.

It is not a de Polignac number, because 8225738541 - 27 = 8225738413 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8225738501) 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 15 ways as a sum of consecutive naturals, for example, 8960041 + ... + 8960958.

It is an arithmetic number, because the mean of its divisors is an integer number (806445000).

Almost surely, 28225738541 is an apocalyptic number.

It is an amenable number.

8225738541 is a deficient number, since it is larger than the sum of its proper divisors (4677381459).

8225738541 is a wasteful number, since it uses less digits than its factorization.

8225738541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17921025 (or 17921019 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 8225738541 is about 90695.8573530236. The cubic root of 8225738541 is about 2018.6373305648.

The spelling of 8225738541 in words is "eight billion, two hundred twenty-five million, seven hundred thirty-eight thousand, five hundred forty-one".

Divisors: 1 3 9 17 27 51 153 459 17920999 53762997 161288991 304656983 483866973 913970949 2741912847 8225738541