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4132520000 = 2654714759
BaseRepresentation
bin1111011001010001…
…0100000001000000
3101200000001202201022
43312110110001000
531430411120000
61522022125012
7204256561160
oct36624240100
911600052638
104132520000
111830777494
12973b80768
1350b21020b
142b2bac5a0
15192c00585
hexf6514040

4132520000 has 140 divisors (see below), whose sum is σ = 11712000960. Its totient is φ = 1416768000.

The previous prime is 4132519903. The next prime is 4132520057. The reversal of 4132520000 is 252314.

It is a tau number, because it is divible by the number of its divisors (140).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 272621 + ... + 287379.

Almost surely, 24132520000 is an apocalyptic number.

4132520000 is a gapful number since it is divisible by the number (40) 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 4132520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856000480).

4132520000 is an abundant number, since it is smaller than the sum of its proper divisors (7579480960).

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

4132520000 is an equidigital number, since it uses as much as digits as its factorization.

4132520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14798 (or 14773 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 4132520000 is about 64284.6793567488. The cubic root of 4132520000 is about 1604.7411454191.

Adding to 4132520000 its reverse (252314), we get a palindrome (4132772314).

The spelling of 4132520000 in words is "four billion, one hundred thirty-two million, five hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 5000 5600 7000 8000 8750 10000 11200 14000 14759 17500 20000 28000 29518 35000 40000 56000 59036 70000 73795 103313 118072 140000 147590 206626 236144 280000 295180 368975 413252 472288 516565 590360 737950 826504 944576 1033130 1180720 1475900 1653008 1844875 2066260 2361440 2582825 2951800 3306016 3689750 4132520 4722880 5165650 5903600 6612032 7379500 8265040 9224375 10331300 11807200 12914125 14759000 16530080 18448750 20662600 23614400 25828250 29518000 33060160 36897500 41325200 51656500 59036000 64570625 73795000 82650400 103313000 118072000 129141250 147590000 165300800 206626000 258282500 295180000 413252000 516565000 590360000 826504000 1033130000 2066260000 4132520000