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12327395200 = 27529773943
BaseRepresentation
bin10110111101100010…
…10001111110000000
31011211010011120010121
423132301101332000
5200221303121300
65355122510024
7614325062461
oct133661217600
934733146117
1012327395200
11525654751a
122480505314
131215c34ab3
1484d2c2d68
154c239181a
hex2dec51f80

12327395200 has 96 divisors (see below), whose sum is σ = 30491418960. Its totient is φ = 4924661760.

The previous prime is 12327395173. The next prime is 12327395203. The reversal of 12327395200 is 259372321.

12327395200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12327395203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3124429 + ... + 3128371.

Almost surely, 212327395200 is an apocalyptic number.

12327395200 is a gapful number since it is divisible by the number (10) 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 12327395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15245709480).

12327395200 is an abundant number, since it is smaller than the sum of its proper divisors (18164023760).

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

12327395200 is an equidigital number, since it uses as much as digits as its factorization.

12327395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4944 (or 4927 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The spelling of 12327395200 in words is "twelve billion, three hundred twenty-seven million, three hundred ninety-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 977 1600 1954 3200 3908 3943 4885 7816 7886 9770 15632 15772 19540 19715 24425 31264 31544 39080 39430 48850 62528 63088 78160 78860 97700 98575 125056 126176 156320 157720 195400 197150 252352 312640 315440 390800 394300 504704 625280 630880 781600 788600 1261760 1563200 1577200 2523520 3126400 3154400 3852311 6308800 7704622 12617600 15409244 19261555 30818488 38523110 61636976 77046220 96307775 123273952 154092440 192615550 246547904 308184880 385231100 493095808 616369760 770462200 1232739520 1540924400 2465479040 3081848800 6163697600 12327395200