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27806396672 = 282572631607
BaseRepresentation
bin11001111001011000…
…111111000100000000
32122202212122022022102
4121321120333010000
5423421414143142
620435111325532
72003032320605
oct317130770400
978685568272
1027806396672
1110879a9341a
1254803808a8
132811a93172
1414bad946ac
15acb272532
hex67963f100

27806396672 has 72 divisors (see below), whose sum is σ = 55966813056. Its totient is φ = 13787856896.

The previous prime is 27806396671. The next prime is 27806396689. The reversal of 27806396672 is 27669360872.

It is a happy number.

It is a super-2 number, since 2×278063966722 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27806396671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17302493 + ... + 17304099.

It is an arithmetic number, because the mean of its divisors is an integer number (777316848).

Almost surely, 227806396672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27806396672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27983406528).

27806396672 is an abundant number, since it is smaller than the sum of its proper divisors (28160416384).

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

27806396672 is a wasteful number, since it uses less digits than its factorization.

27806396672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 56.

The spelling of 27806396672 in words is "twenty-seven billion, eight hundred six million, three hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 257 263 514 526 1028 1052 1607 2056 2104 3214 4112 4208 6428 8224 8416 12856 16448 16832 25712 32896 33664 51424 65792 67328 67591 102848 135182 205696 270364 411392 412999 422641 540728 825998 845282 1081456 1651996 1690564 2162912 3303992 3381128 4325824 6607984 6762256 8651648 13215968 13524512 17303296 26431936 27049024 52863872 54098048 105727744 108196096 108618737 217237474 434474948 868949896 1737899792 3475799584 6951599168 13903198336 27806396672