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5186440000 = 2654718523
BaseRepresentation
bin1001101010010001…
…01100101101000000
3111101110012110011101
410311020230231000
541110212040000
62214351224144
7242345004220
oct46510545500
914343173141
105186440000
112221679155
121008b18054
13648678b11
14372b54080
152054d2e6a
hex13522cb40

5186440000 has 140 divisors (see below), whose sum is σ = 14698719904. Its totient is φ = 1778112000.

The previous prime is 5186439997. The next prime is 5186440003. The reversal of 5186440000 is 446815.

It is an interprime number because it is at equal distance from previous prime (5186439997) and next prime (5186440003).

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5186440003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 270739 + ... + 289261.

Almost surely, 25186440000 is an apocalyptic number.

5186440000 is a gapful number since it is divisible by the number (50) 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 5186440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7349359952).

5186440000 is an abundant number, since it is smaller than the sum of its proper divisors (9512279904).

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

5186440000 is an equidigital number, since it uses as much as digits as its factorization.

5186440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18562 (or 18537 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 5186440000 is about 72016.9424510649. The cubic root of 5186440000 is about 1730.9709764195.

Adding to 5186440000 its reverse (446815), we get a palindrome (5186886815).

The spelling of 5186440000 in words is "five billion, one hundred eighty-six million, four hundred forty 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 17500 18523 20000 28000 35000 37046 40000 56000 70000 74092 92615 129661 140000 148184 185230 259322 280000 296368 370460 463075 518644 592736 648305 740920 926150 1037288 1185472 1296610 1481840 1852300 2074576 2315375 2593220 2963680 3241525 3704600 4149152 4630750 5186440 5927360 6483050 7409200 8298304 9261500 10372880 11576875 12966100 14818400 16207625 18523000 20745760 23153750 25932200 29636800 32415250 37046000 41491520 46307500 51864400 64830500 74092000 81038125 92615000 103728800 129661000 148184000 162076250 185230000 207457600 259322000 324152500 370460000 518644000 648305000 740920000 1037288000 1296610000 2593220000 5186440000