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27995193216 = 273371271421
BaseRepresentation
bin11010000100101001…
…001011111110000000
32200021000220011111000
4122010221023332000
5424313232140331
620505534052000
72010514134054
oct320451137600
980230804430
1027995193216
1110966614021
12551364a000
132841c26bb3
1414d809bc64
15adcb170e6
hex684a4bf80

27995193216 has 256 divisors, whose sum is σ = 84297369600. Its totient is φ = 9144576000.

The previous prime is 27995193203. The next prime is 27995193217. The reversal of 27995193216 is 61239159972.

27995193216 is a `hidden beast` number, since 2 + 7 + 99 + 519 + 32 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27995193217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66496686 + ... + 66497106.

It is an arithmetic number, because the mean of its divisors is an integer number (329286600).

Almost surely, 227995193216 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 27995193216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42148684800).

27995193216 is an abundant number, since it is smaller than the sum of its proper divisors (56302176384).

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

27995193216 is a wasteful number, since it uses less digits than its factorization.

27995193216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 768 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The spelling of 27995193216 in words is "twenty-seven billion, nine hundred ninety-five million, one hundred ninety-three thousand, two hundred sixteen".