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27030620160 = 2113751771
BaseRepresentation
bin11001001011001001…
…101000100000000000
32120202210212210000000
4121023021220200000
5420324314321120
620230120000000
71644562323525
oct311311504000
976683783000
1027030620160
1110511098005
1252a4600000
13271a141bcb
141445d3314c
15a830d2990
hex64b268800

27030620160 has 768 divisors, whose sum is σ = 104444121600. Its totient is φ = 6688604160.

The previous prime is 27030620117. The next prime is 27030620173. The reversal of 27030620160 is 6102603072.

It is a happy number.

27030620160 is a `hidden beast` number, since 2 + 7 + 0 + 30 + 620 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×270306201603 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 380712925 + ... + 380712995.

It is an arithmetic number, because the mean of its divisors is an integer number (135994950).

Almost surely, 227030620160 is an apocalyptic number.

27030620160 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 27030620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52222060800).

27030620160 is an abundant number, since it is smaller than the sum of its proper divisors (77413501440).

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

27030620160 is an frugal number, since it uses more digits than its factorization.

27030620160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 27030620160 in words is "twenty-seven billion, thirty million, six hundred twenty thousand, one hundred sixty".