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27026039040 = 2835711137989
BaseRepresentation
bin11001001010111000…
…001010000100000000
32120202111021000212220
4121022320022010000
5420322131222130
620225433451040
71644505353510
oct311270120400
976674230786
1027026039040
1110509549160
1252a2b70a80
1327191c99a0
14144549d840
15a829ca410
hex64ae0a100

27026039040 has 1152 divisors, whose sum is σ = 118676275200. Its totient is φ = 5060689920.

The previous prime is 27026039021. The next prime is 27026039111. The reversal of 27026039040 is 4093062072.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 27026038992 and 27026039010.

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 127 ways as a sum of consecutive naturals, for example, 303663316 + ... + 303663404.

It is an arithmetic number, because the mean of its divisors is an integer number (103017600).

Almost surely, 227026039040 is an apocalyptic number.

27026039040 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 27026039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59338137600).

27026039040 is an abundant number, since it is smaller than the sum of its proper divisors (91650236160).

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

27026039040 is a wasteful number, since it uses less digits than its factorization.

27026039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 27026039040 in words is "twenty-seven billion, twenty-six million, thirty-nine thousand, forty".