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27976115552 = 257111732311
BaseRepresentation
bin11010000011100000…
…011010010101100000
32200012200222220211212
4122003200122111200
5424243341144202
620504013125252
72010163026050
oct320340322540
980180886755
1027976115552
1110956873760
125509189828
13283aca7538
1414d5733560
15adb0e9652
hex68381a560

27976115552 has 192 divisors, whose sum is σ = 72991134720. Its totient is φ = 10254182400.

The previous prime is 27976115513. The next prime is 27976115579. The reversal of 27976115552 is 25551167972.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 27976115552.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12104477 + ... + 12106787.

It is an arithmetic number, because the mean of its divisors is an integer number (380162160).

Almost surely, 227976115552 is an apocalyptic number.

27976115552 is a gapful number since it is divisible by the number (22) 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 27976115552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36495567360).

27976115552 is an abundant number, since it is smaller than the sum of its proper divisors (45015019168).

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

27976115552 is a wasteful number, since it uses less digits than its factorization.

27976115552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2348 counting only the distinct ones).

The product of its digits is 1323000, while the sum is 50.

The spelling of 27976115552 in words is "twenty-seven billion, nine hundred seventy-six million, one hundred fifteen thousand, five hundred fifty-two".