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27122136608 = 257241592
BaseRepresentation
bin11001010000100110…
…101111011000100000
32121000012002021222002
4121100212233120200
5421021231332413
620243145303132
71650053233400
oct312046573040
977005067862
1027122136608
1110558814736
12530b194aa8
1327330a5158
141454156800
15a8b15d958
hex6509af620

27122136608 has 54 divisors (see below), whose sum is σ = 62129474631. Its totient is φ = 11620977984.

The previous prime is 27122136557. The next prime is 27122136611. The reversal of 27122136608 is 80663122172.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 13561068304 + 13561068304 = 116452^2 + 116452^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=116452.

It is a super-2 number, since 2×271221366082 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6519233 + ... + 6523391.

Almost surely, 227122136608 is an apocalyptic number.

27122136608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27122136608 is an abundant number, since it is smaller than the sum of its proper divisors (35007338023).

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

27122136608 is an frugal number, since it uses more digits than its factorization.

27122136608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8342 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 27122136608 in words is "twenty-seven billion, one hundred twenty-two million, one hundred thirty-six thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 4159 8318 16636 29113 33272 58226 66544 116452 133088 203791 232904 407582 465808 815164 931616 1630328 3260656 6521312 17297281 34594562 69189124 121080967 138378248 242161934 276756496 484323868 553512992 847566769 968647736 1695133538 1937295472 3390267076 3874590944 6780534152 13561068304 27122136608