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27272818140 = 22351726738057
BaseRepresentation
bin11001011001100101…
…100010110111011100
32121101200121201011120
4121121211202313130
5421323320140030
620310131050540
71653563062221
oct313145426734
977350551146
1027272818140
1110625881a27
125351740a50
132758382319
14146a17b948
15a994c5010
hex659962ddc

27272818140 has 48 divisors (see below), whose sum is σ = 80855887392. Its totient is φ = 6844942336.

The previous prime is 27272818127. The next prime is 27272818147. The reversal of 27272818140 is 4181827272.

It is a junction number, because it is equal to n+sod(n) for n = 27272818092 and 27272818101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27272818147) by changing a digit.

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, 13368009 + ... + 13370048.

It is an arithmetic number, because the mean of its divisors is an integer number (1684497654).

Almost surely, 227272818140 is an apocalyptic number.

27272818140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27272818140 is an abundant number, since it is smaller than the sum of its proper divisors (53583069252).

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

27272818140 is a wasteful number, since it uses less digits than its factorization.

27272818140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26738086 (or 26738084 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The spelling of 27272818140 in words is "twenty-seven billion, two hundred seventy-two million, eight hundred eighteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 26738057 53476114 80214171 106952228 133690285 160428342 267380570 320856684 401070855 454546969 534761140 802141710 909093938 1363640907 1604283420 1818187876 2272734845 2727281814 4545469690 5454563628 6818204535 9090939380 13636409070 27272818140