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27936120149 = 721015644801
BaseRepresentation
bin11010000001000111…
…110101110101010101
32200002220201221110122
4122001013311311111
5424203121321044
620500024001325
72006166050300
oct320107656525
980086657418
1027936120149
1110936236603
1254b7900245
132832912b12
1414d02c1b37
15ad7848dee
hex6811f5d55

27936120149 has 12 divisors (see below), whose sum is σ = 32818878828. Its totient is φ = 23708160000.

The previous prime is 27936120143. The next prime is 27936120169. The reversal of 27936120149 is 94102163972.

It can be written as a sum of positive squares in 2 ways, for example, as 24748953124 + 3187167025 = 157318^2 + 56455^2 .

It is not a de Polignac number, because 27936120149 - 24 = 27936120133 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27936120143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2817452 + ... + 2827349.

It is an arithmetic number, because the mean of its divisors is an integer number (2734906569).

Almost surely, 227936120149 is an apocalyptic number.

It is an amenable number.

27936120149 is a deficient number, since it is larger than the sum of its proper divisors (4882758679).

27936120149 is a wasteful number, since it uses less digits than its factorization.

27936120149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5644916 (or 5644909 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The spelling of 27936120149 in words is "twenty-seven billion, nine hundred thirty-six million, one hundred twenty thousand, one hundred forty-nine".

Divisors: 1 7 49 101 707 4949 5644801 39513607 276595249 570124901 3990874307 27936120149