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8241233157 = 3217187728697
BaseRepresentation
bin1111010110011011…
…10011110100000101
3210021100100000120200
413223031303310011
5113334223430112
63441434121113
7411140216553
oct75315636405
923240300520
108241233157
113549a634a3
12171bb80199
13a14506331
14582740bd3
1533379bcdc
hex1eb373d05

8241233157 has 24 divisors (see below), whose sum is σ = 12611393496. Its totient is φ = 5168034816.

The previous prime is 8241233149. The next prime is 8241233179. The reversal of 8241233157 is 7513321428.

It can be written as a sum of positive squares in 4 ways, for example, as 1011812481 + 7229420676 = 31809^2 + 85026^2 .

It is not a de Polignac number, because 8241233157 - 23 = 8241233149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8241233107) 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 23 ways as a sum of consecutive naturals, for example, 272833 + ... + 301529.

It is an arithmetic number, because the mean of its divisors is an integer number (525474729).

Almost surely, 28241233157 is an apocalyptic number.

It is an amenable number.

8241233157 is a deficient number, since it is larger than the sum of its proper divisors (4370160339).

8241233157 is a wasteful number, since it uses less digits than its factorization.

8241233157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30597 (or 30594 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 8241233157 is about 90781.2379129080. The cubic root of 8241233157 is about 2019.9040209437.

The spelling of 8241233157 in words is "eight billion, two hundred forty-one million, two hundred thirty-three thousand, one hundred fifty-seven".

Divisors: 1 3 9 17 51 153 1877 5631 16893 28697 31909 86091 95727 258273 287181 487849 1463547 4390641 53864269 161592807 484778421 915692573 2747077719 8241233157