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5005622112 = 253235933823
BaseRepresentation
bin1001010100101101…
…11011101101100000
3110220211221221122120
410222112323231200
540222414401422
62144411504240
7235021041321
oct45226735540
913824857576
105005622112
1121395a7a87
12b78458080
1361a07989a
14356b26448
151e46b745c
hex12a5bbb60

5005622112 has 96 divisors (see below), whose sum is σ = 13737765888. Its totient is φ = 1592887296.

The previous prime is 5005622107. The next prime is 5005622117. The reversal of 5005622112 is 2112265005.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5005622107) and next prime (5005622117).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005622117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1307433 + ... + 1311255.

It is an arithmetic number, because the mean of its divisors is an integer number (143101728).

Almost surely, 25005622112 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 5005622112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868882944).

5005622112 is an abundant number, since it is smaller than the sum of its proper divisors (8732143776).

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

5005622112 is a wasteful number, since it uses less digits than its factorization.

5005622112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5005622112 is about 70750.4212849648. The cubic root of 5005622112 is about 1710.6166183608.

Adding to 5005622112 its reverse (2112265005), we get a palindrome (7117887117).

The spelling of 5005622112 in words is "five billion, five million, six hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 593 736 1104 1186 1779 2208 2372 3558 3823 4744 7116 7646 9488 11469 13639 14232 15292 18976 22938 27278 28464 30584 40917 45876 54556 56928 61168 81834 87929 91752 109112 122336 163668 175858 183504 218224 263787 327336 351716 367008 436448 527574 654672 703432 1055148 1309344 1406864 2110296 2267039 2813728 4220592 4534078 6801117 8441184 9068156 13602234 18136312 27204468 36272624 52141897 54408936 72545248 104283794 108817872 156425691 208567588 217635744 312851382 417135176 625702764 834270352 1251405528 1668540704 2502811056 5005622112