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27347274372 = 2231134141761
BaseRepresentation
bin11001011110000001…
…100100101010000100
32121120212201110220210
4121132001210222010
5422001400234442
620321350555420
71655455665615
oct313601445204
977525643823
1027347274372
1110663907000
125372668b70
13276a921272
141475dddc0c
15aa0cd119c
hex65e064a84

27347274372 has 96 divisors (see below), whose sum is σ = 71900131968. Its totient is φ = 8084736000.

The previous prime is 27347274337. The next prime is 27347274379.

27347274372 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (27347274379) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633972 + ... + 675732.

It is an arithmetic number, because the mean of its divisors is an integer number (748959708).

Almost surely, 227347274372 is an apocalyptic number.

27347274372 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27347274372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35950065984).

27347274372 is an abundant number, since it is smaller than the sum of its proper divisors (44552857596).

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

27347274372 is a wasteful number, since it uses less digits than its factorization.

27347274372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41842 (or 41818 counting only the distinct ones).

The product of its digits is 2765952, while the sum is 48.

The spelling of 27347274372 in words is "twenty-seven billion, three hundred forty-seven million, two hundred seventy-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 121 123 132 164 242 246 363 451 484 492 726 902 1331 1353 1452 1804 2662 2706 3993 4961 5324 5412 7986 9922 14883 15972 19844 29766 41761 54571 59532 83522 109142 125283 163713 167044 218284 250566 327426 459371 501132 654852 918742 1378113 1712201 1837484 2756226 3424402 5053081 5136603 5512452 6848804 10106162 10273206 15159243 18834211 20212324 20546412 30318486 37668422 55583891 56502633 60636972 75336844 111167782 113005266 166751673 207176321 222335564 226010532 333503346 414352642 621528963 667006692 828705284 1243057926 2278939531 2486115852 4557879062 6836818593 9115758124 13673637186 27347274372