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27015005440 = 28521105473
BaseRepresentation
bin11001001010001110…
…000100010100000000
32120201201111110122001
4121022032010110000
5420311320133230
620224401153344
71644312520543
oct311216042400
976651443561
1027015005440
11105032a2485
12529b32b854
132716b35827
141443c2a85a
15a81a4b0ca
hex64a384500

27015005440 has 36 divisors (see below), whose sum is σ = 64709383284. Its totient is φ = 10806001664.

The previous prime is 27015005431. The next prime is 27015005441. The reversal of 27015005440 is 4450051072.

It can be written as a sum of positive squares in 2 ways, for example, as 3116318976 + 23898686464 = 55824^2 + 154592^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27015005399 and 27015005408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27015005441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10551457 + ... + 10554016.

It is an arithmetic number, because the mean of its divisors is an integer number (1797482869).

Almost surely, 227015005440 is an apocalyptic number.

27015005440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27015005440 is an abundant number, since it is smaller than the sum of its proper divisors (37694377844).

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

27015005440 is an equidigital number, since it uses as much as digits as its factorization.

27015005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21105494 (or 21105480 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The spelling of 27015005440 in words is "twenty-seven billion, fifteen million, five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 21105473 42210946 84421892 105527365 168843784 211054730 337687568 422109460 675375136 844218920 1350750272 1688437840 2701500544 3376875680 5403001088 6753751360 13507502720 27015005440