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106688226744 = 233211134707357
BaseRepresentation
bin110001101011100011…
…1010010010110111000
3101012101021201110112100
41203113013102112320
53221444141223434
6121002322543400
710464555651561
oct1432707222670
9335337643470
10106688226744
11412787a4920
1218815807b60
13a0a3354b68
145241421168
152b964bb699
hex18d71d25b8

106688226744 has 48 divisors (see below), whose sum is σ = 315215217720. Its totient is φ = 32329765440.

The previous prime is 106688226721. The next prime is 106688226763. The reversal of 106688226744 is 447622886601.

It is a happy number.

It is a super-2 number, since 2×1066882267442 (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 67352887 + ... + 67354470.

Almost surely, 2106688226744 is an apocalyptic number.

It is an amenable number.

106688226744 is an abundant number, since it is smaller than the sum of its proper divisors (208526990976).

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

106688226744 is a wasteful number, since it uses less digits than its factorization.

106688226744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134707380 (or 134707373 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 106688226744 in words is "one hundred six billion, six hundred eighty-eight million, two hundred twenty-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 134707357 269414714 404122071 538829428 808244142 1077658856 1212366213 1481780927 1616488284 2424732426 2963561854 3232976568 4445342781 4849464852 5927123708 8890685562 9698929704 11854247416 13336028343 17781371124 26672056686 35562742248 53344113372 106688226744