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27713225385 = 35553607709
BaseRepresentation
bin11001110011110101…
…100100001010101001
32122112101022201100000
4121303311210022221
5423224041203020
620421542333213
72000521346316
oct316365441251
978471281300
1027713225385
111083143645a
12545512a209
1327c86a0921
1414ac85dd0d
15ac2ebb090
hex673d642a9

27713225385 has 96 divisors (see below), whose sum is σ = 50910612480. Its totient is φ = 14457201408.

The previous prime is 27713225383. The next prime is 27713225399. The reversal of 27713225385 is 58352231772.

27713225385 is a `hidden beast` number, since 27 + 71 + 3 + 22 + 538 + 5 = 666.

It is not a de Polignac number, because 27713225385 - 21 = 27713225383 is a prime.

It is a super-2 number, since 2×277132253852 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 27713225385.

It is not an unprimeable number, because it can be changed into a prime (27713225381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39087411 + ... + 39088119.

It is an arithmetic number, because the mean of its divisors is an integer number (530318880).

Almost surely, 227713225385 is an apocalyptic number.

It is an amenable number.

27713225385 is a deficient number, since it is larger than the sum of its proper divisors (23197387095).

27713225385 is an equidigital number, since it uses as much as digits as its factorization.

27713225385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1377 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 27713225385 in words is "twenty-seven billion, seven hundred thirteen million, two hundred twenty-five thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 53 81 135 159 243 265 405 477 607 709 795 1215 1431 1821 2127 2385 3035 3545 4293 5463 6381 7155 9105 10635 12879 16389 19143 21465 27315 31905 32171 37577 49167 57429 64395 81945 95715 96513 112731 147501 160855 172287 187885 245835 287145 289539 338193 430363 482565 563655 737505 861435 868617 1014579 1291089 1447695 1690965 2151815 2605851 3043737 3873267 4343085 5072895 6455445 7817553 9131211 11619801 13029255 15218685 19366335 22809239 34859403 39087765 45656055 58099005 68427717 104578209 114046195 174297015 205283151 342138585 522891045 615849453 1026415755 1847548359 3079247265 5542645077 9237741795 27713225385