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8205132150 = 2325226967783
BaseRepresentation
bin1111010010001000…
…00110000101110110
3210011211101220022100
413221010012011312
5113301003212100
63434104242530
7410221321035
oct75104060566
923154356270
108205132150
113530646256
12170ba70446
13a09ba63a7
1457ba2471c
1533051a400
hex1e9106176

8205132150 has 72 divisors (see below), whose sum is σ = 22126731120. Its totient is φ = 2179869120.

The previous prime is 8205132107. The next prime is 8205132151. The reversal of 8205132150 is 512315028.

It is a happy number.

8205132150 is a `hidden beast` number, since 82 + 0 + 513 + 21 + 50 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8205132151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87159 + ... + 154941.

It is an arithmetic number, because the mean of its divisors is an integer number (307315710).

Almost surely, 28205132150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8205132150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11063365560).

8205132150 is an abundant number, since it is smaller than the sum of its proper divisors (13921598970).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8205132150 is a wasteful number, since it uses less digits than its factorization.

8205132150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68070 (or 68062 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 8205132150 is about 90582.1845066678. The cubic root of 8205132150 is about 2016.9502839354.

Adding to 8205132150 its reverse (512315028), we get a palindrome (8717447178).

The spelling of 8205132150 in words is "eight billion, two hundred five million, one hundred thirty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 269 450 538 807 1345 1614 2421 2690 4035 4842 6725 8070 12105 13450 20175 24210 40350 60525 67783 121050 135566 203349 338915 406698 610047 677830 1016745 1220094 1694575 2033490 3050235 3389150 5083725 6100470 10167450 15251175 18233627 30502350 36467254 54700881 91168135 109401762 164102643 182336270 273504405 328205286 455840675 547008810 820513215 911681350 1367522025 1641026430 2735044050 4102566075 8205132150