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32513125000 = 235752021
BaseRepresentation
bin11110010001111011…
…101110101010001000
310002220220011212202211
4132101323232222020
51013041330000000
622534125034504
72230464000616
oct362173565210
9102826155684
1032513125000
11128748a2044
1263746b5a34
1330b1c3b605
1418061146b6
15ca45987ba
hex791eeea88

32513125000 has 64 divisors (see below), whose sum is σ = 76203906480. Its totient is φ = 13005000000.

The previous prime is 32513124991. The next prime is 32513125049. The reversal of 32513125000 is 52131523.

It can be written as a sum of positive squares in 8 ways, for example, as 30019720644 + 2493404356 = 173262^2 + 49934^2 .

It is an unprimeable number.

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, 598990 + ... + 651010.

Almost surely, 232513125000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32513125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38101953240).

32513125000 is an abundant number, since it is smaller than the sum of its proper divisors (43690781480).

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

32513125000 is an frugal number, since it uses more digits than its factorization.

32513125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52062 (or 52028 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 32513125000 its reverse (52131523), we get a palindrome (32565256523).

The spelling of 32513125000 in words is "thirty-two billion, five hundred thirteen million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 15625 25000 31250 52021 62500 78125 104042 125000 156250 208084 260105 312500 416168 520210 625000 1040420 1300525 2080840 2601050 5202100 6502625 10404200 13005250 26010500 32513125 52021000 65026250 130052500 162565625 260105000 325131250 650262500 812828125 1300525000 1625656250 3251312500 4064140625 6502625000 8128281250 16256562500 32513125000