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27955200000 = 215355713
BaseRepresentation
bin11010000010010000…
…101000000000000000
32200011020122022002210
4122002100220000000
5424223012400000
620501544542120
72006520164550
oct320220500000
980136568083
1027955200000
1110945a88582
125502181940
132836863480
1414d2a4b160
15ad9367350
hex682428000

27955200000 has 768 divisors, whose sum is σ = 114678910080. Its totient is φ = 5898240000.

The previous prime is 27955199999. The next prime is 27955200001. The reversal of 27955200000 is 255972.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27955199999) and next prime (27955200001).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×279552000003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27955200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2150399994 + ... + 2150400006.

Almost surely, 227955200000 is an apocalyptic number.

27955200000 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 27955200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57339455040).

27955200000 is an abundant number, since it is smaller than the sum of its proper divisors (86723710080).

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

27955200000 is an frugal number, since it uses more digits than its factorization.

27955200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

Adding to 27955200000 its reverse (255972), we get a palindrome (27955455972).

The spelling of 27955200000 in words is "twenty-seven billion, nine hundred fifty-five million, two hundred thousand".