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27340257620 = 225131011041137
BaseRepresentation
bin11001011101100110…
…110011100101010100
32121120101111222202002
4121131212303211110
5421443101220440
620320540334432
71655342232614
oct313546634524
977511458662
1027340257620
111065a954235
125370244418
132769335540
1414750d4a44
15aa0397115
hex65d9b3954

27340257620 has 48 divisors (see below), whose sum is σ = 62443292688. Its totient is φ = 9994905600.

The previous prime is 27340257617. The next prime is 27340257631. The reversal of 27340257620 is 2675204372.

It can be written as a sum of positive squares in 8 ways, for example, as 3437242384 + 23903015236 = 58628^2 + 154606^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494309 + ... + 546828.

It is an arithmetic number, because the mean of its divisors is an integer number (1300901931).

Almost surely, 227340257620 is an apocalyptic number.

27340257620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27340257620 is an abundant number, since it is smaller than the sum of its proper divisors (35103035068).

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

27340257620 is a wasteful number, since it uses less digits than its factorization.

27340257620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041260 (or 1041258 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The spelling of 27340257620 in words is "twenty-seven billion, three hundred forty million, two hundred fifty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5252 6565 13130 26260 1041137 2082274 4164548 5205685 10411370 13534781 20822740 27069562 54139124 67673905 105154837 135347810 210309674 270695620 420619348 525774185 1051548370 1367012881 2103096740 2734025762 5468051524 6835064405 13670128810 27340257620