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27393910000 = 24546074513
BaseRepresentation
bin11001100000110011…
…011110010011110000
32121201010110210222021
4121200303132103300
5422100320110000
620330134321224
71656563251552
oct314063362360
977633423867
1027393910000
111068816a046
1253861b9214
13277749c202
14147c29d4d2
15aa4e4411a
hex660cde4f0

27393910000 has 100 divisors (see below), whose sum is σ = 66447380032. Its totient is φ = 10937088000.

The previous prime is 27393909997. The next prime is 27393910067. The reversal of 27393910000 is 1939372.

It is a tau number, because it is divible by the number of its divisors (100).

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, 6067744 + ... + 6072256.

Almost surely, 227393910000 is an apocalyptic number.

27393910000 is a gapful number since it is divisible by the number (20) 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 27393910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33223690016).

27393910000 is an abundant number, since it is smaller than the sum of its proper divisors (39053470032).

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

27393910000 is an equidigital number, since it uses as much as digits as its factorization.

27393910000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5148 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 34.

The spelling of 27393910000 in words is "twenty-seven billion, three hundred ninety-three million, nine hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 607 625 1000 1214 1250 2000 2428 2500 3035 4513 4856 5000 6070 9026 9712 10000 12140 15175 18052 22565 24280 30350 36104 45130 48560 60700 72208 75875 90260 112825 121400 151750 180520 225650 242800 303500 361040 379375 451300 564125 607000 758750 902600 1128250 1214000 1517500 1805200 2256500 2739391 2820625 3035000 4513000 5478782 5641250 6070000 9026000 10957564 11282500 13696955 21915128 22565000 27393910 43830256 45130000 54787820 68484775 109575640 136969550 219151280 273939100 342423875 547878200 684847750 1095756400 1369695500 1712119375 2739391000 3424238750 5478782000 6848477500 13696955000 27393910000