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27496943872 = 287312132
BaseRepresentation
bin11001100110111100…
…100001000100000000
32121222022100110212121
4121212330201010000
5422303204200442
620344254534024
71662254111056
oct314674410400
977868313777
1027496943872
1110730342a02
1253b4807314
1327929358b8
14148bc401d6
15aadee7967
hex666f21100

27496943872 has 54 divisors (see below), whose sum is σ = 55684253562. Its totient is φ = 13548957696.

The previous prime is 27496943867. The next prime is 27496943897. The reversal of 27496943872 is 27834969472.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 658640896 + 26838302976 = 25664^2 + 163824^2 .

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 27496943872.

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 5 ways as a sum of consecutive naturals, for example, 22667938 + ... + 22669150.

Almost surely, 227496943872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27496943872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27842126781).

27496943872 is an abundant number, since it is smaller than the sum of its proper divisors (28187309690).

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

27496943872 is an frugal number, since it uses more digits than its factorization.

27496943872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 1288 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 61.

The spelling of 27496943872 in words is "twenty-seven billion, four hundred ninety-six million, nine hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 584 1168 1213 2336 2426 4672 4852 9344 9704 18688 19408 38816 77632 88549 155264 177098 310528 354196 708392 1416784 1471369 2833568 2942738 5667136 5885476 11334272 11770952 22668544 23541904 47083808 94167616 107409937 188335232 214819874 376670464 429639748 859279496 1718558992 3437117984 6874235968 13748471936 27496943872