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8132500000 = 25573253
BaseRepresentation
bin1111001001011110…
…00001101000100000
3202222202201210201201
413210233001220200
5113123410000000
63422551410544
7405350052352
oct74457015040
922882653651
108132500000
1134a3647689
1216ab683a54
139c7b257a1
145721190d2
15328e6e96a
hex1e4bc1a20

8132500000 has 96 divisors (see below), whose sum is σ = 20019675312. Its totient is φ = 3252000000.

The previous prime is 8132499971. The next prime is 8132500003. The reversal of 8132500000 is 52318.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5182272144 + 2950227856 = 71988^2 + 54316^2 .

It is a super-2 number, since 2×81325000002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8132500003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2498374 + ... + 2501626.

Almost surely, 28132500000 is an apocalyptic number.

8132500000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8132500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10009837656).

8132500000 is an abundant number, since it is smaller than the sum of its proper divisors (11887175312).

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

8132500000 is an frugal number, since it uses more digits than its factorization.

8132500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 8132500000 is about 90180.3748051648. The cubic root of 8132500000 is about 2010.9812622555.

Adding to 8132500000 its reverse (52318), we get a palindrome (8132552318).

The spelling of 8132500000 in words is "eight billion, one hundred thirty-two million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 3253 4000 5000 6250 6506 10000 12500 13012 15625 16265 20000 25000 26024 31250 32530 50000 52048 62500 65060 78125 81325 100000 104096 125000 130120 156250 162650 250000 260240 312500 325300 406625 500000 520480 625000 650600 813250 1250000 1301200 1626500 2033125 2500000 2602400 3253000 4066250 6506000 8132500 10165625 13012000 16265000 20331250 32530000 40662500 50828125 65060000 81325000 101656250 162650000 203312500 254140625 325300000 406625000 508281250 813250000 1016562500 1626500000 2033125000 4066250000 8132500000