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27026117120 = 29571914683
BaseRepresentation
bin11001001010111000…
…011101001000000000
32120202111101222222202
4121022320131020000
5420322141221440
620225435252332
71644506130242
oct311270351000
976674358882
1027026117120
11105095a1892
1252a2baa0a8
1327192263a2
1414454c0092
15a829e3615
hex64ae1d200

27026117120 has 80 divisors (see below), whose sum is σ = 64893882240. Its totient is φ = 10794676224.

The previous prime is 27026117071. The next prime is 27026117137. The reversal of 27026117120 is 2171162072.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×270261171202 (a number of 22 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1833299 + ... + 1847981.

It is an arithmetic number, because the mean of its divisors is an integer number (811173528).

Almost surely, 227026117120 is an apocalyptic number.

27026117120 is a gapful number since it is divisible by the number (20) 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 27026117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32446941120).

27026117120 is an abundant number, since it is smaller than the sum of its proper divisors (37867765120).

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

27026117120 is an equidigital number, since it uses as much as digits as its factorization.

27026117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15425 (or 15409 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

Adding to 27026117120 its reverse (2171162072), we get a palindrome (29197279192).

The spelling of 27026117120 in words is "twenty-seven billion, twenty-six million, one hundred seventeen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 719 1280 1438 2560 2876 3595 5752 7190 11504 14380 14683 23008 28760 29366 46016 57520 58732 73415 92032 115040 117464 146830 184064 230080 234928 293660 368128 460160 469856 587320 920320 939712 1174640 1840640 1879424 2349280 3758848 4698560 7517696 9397120 10557077 18794240 21114154 37588480 42228308 52785385 84456616 105570770 168913232 211141540 337826464 422283080 675652928 844566160 1351305856 1689132320 2702611712 3378264640 5405223424 6756529280 13513058560 27026117120