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32125000000 = 2659257
BaseRepresentation
bin11101111010110011…
…001001100101000000
310001220211212002100211
4131322303021211000
51011243000000000
622431422123504
72215041665062
oct357263114500
9101824762324
1032125000000
11126957a7a85
126286720594
13304c6c7152
1417aa761732
15c8047d7ba
hex77acc9940

32125000000 has 140 divisors (see below), whose sum is σ = 79995108996. Its totient is φ = 12800000000.

The previous prime is 32124999971. The next prime is 32125000027. The reversal of 32125000000 is 52123.

It can be written as a sum of positive squares in 10 ways, for example, as 6775265344 + 25349734656 = 82312^2 + 159216^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 124999872 + ... + 125000128.

Almost surely, 232125000000 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 32125000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39997554498).

32125000000 is an abundant number, since it is smaller than the sum of its proper divisors (47870108996).

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

32125000000 is an frugal number, since it uses more digits than its factorization.

32125000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

Adding to 32125000000 its reverse (52123), we get a palindrome (32125052123).

The spelling of 32125000000 in words is "thirty-two billion, one hundred twenty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 257 320 400 500 514 625 800 1000 1028 1250 1285 1600 2000 2056 2500 2570 3125 4000 4112 5000 5140 6250 6425 8000 8224 10000 10280 12500 12850 15625 16448 20000 20560 25000 25700 31250 32125 40000 41120 50000 51400 62500 64250 78125 82240 100000 102800 125000 128500 156250 160625 200000 205600 250000 257000 312500 321250 390625 411200 500000 514000 625000 642500 781250 803125 1000000 1028000 1250000 1285000 1562500 1606250 1953125 2056000 2500000 2570000 3125000 3212500 3906250 4015625 5000000 5140000 6250000 6425000 7812500 8031250 10280000 12500000 12850000 15625000 16062500 20078125 25000000 25700000 31250000 32125000 40156250 51400000 62500000 64250000 80312500 100390625 125000000 128500000 160625000 200781250 257000000 321250000 401562500 501953125 642500000 803125000 1003906250 1285000000 1606250000 2007812500 3212500000 4015625000 6425000000 8031250000 16062500000 32125000000