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27109951801 = 22927192
BaseRepresentation
bin11001001111111000…
…010000100100111001
32120222100011020112221
4121033320100210321
5421010121424201
620242032204041
71646544534232
oct311770204471
976870136487
1027109951801
1110551952049
125307099621
1327306c9cca
1414526a4089
15a8a0534a1
hex64fe10939

27109951801 has 9 divisors (see below), whose sum is σ = 27266775951. Its totient is φ = 26954027304.

The previous prime is 27109951789. The next prime is 27109951823. The reversal of 27109951801 is 10815990172.

The square root of 27109951801 is 164651.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25248892201 + 1861059600 = 158899^2 + 43140^2 .

It is not a de Polignac number, because 27109951801 - 227 = 26975734073 is a prime.

It is a super-3 number, since 3×271099518013 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27109951861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37704720 + ... + 37705438.

Almost surely, 227109951801 is an apocalyptic number.

27109951801 is the 164651-st square number.

27109951801 is the 82326-th centered octagonal number.

It is an amenable number.

27109951801 is a deficient number, since it is larger than the sum of its proper divisors (156824150).

27109951801 is an frugal number, since it uses more digits than its factorization.

27109951801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 43.

The spelling of 27109951801 in words is "twenty-seven billion, one hundred nine million, nine hundred fifty-one thousand, eight hundred one".

Divisors: 1 229 719 52441 164651 516961 37705079 118384069 27109951801