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4412366672 = 24713722099
BaseRepresentation
bin1000001101111111…
…10101111101010000
3102101111122110011212
410012333311331100
533014031213142
62005500155252
7214225332530
oct40677657520
912344573155
104412366672
11196473642a
12a31838b28
135541a2b6c
142dc0174c0
151ac57cd82
hex106ff5f50

4412366672 has 60 divisors (see below), whose sum is σ = 9846765600. Its totient is φ = 1876316928.

The previous prime is 4412366671. The next prime is 4412366681. The reversal of 4412366672 is 2766632144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412366671) 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 11 ways as a sum of consecutive naturals, for example, 2101079 + ... + 2103177.

It is an arithmetic number, because the mean of its divisors is an integer number (164112760).

Almost surely, 24412366672 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 4412366672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4923382800).

4412366672 is an abundant number, since it is smaller than the sum of its proper divisors (5434398928).

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

4412366672 is a wasteful number, since it uses less digits than its factorization.

4412366672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2245 counting only the distinct ones).

The product of its digits is 290304, while the sum is 41.

The square root of 4412366672 is about 66425.6476972562. The cubic root of 4412366672 is about 1640.1762987154.

The spelling of 4412366672 in words is "four billion, four hundred twelve million, three hundred sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 274 548 959 1096 1918 2099 2192 3836 4198 7672 8396 14693 15344 16792 18769 29386 33584 37538 58772 75076 117544 131383 150152 235088 262766 287563 300304 525532 575126 1051064 1150252 2012941 2102128 2300504 4025882 4601008 8051764 16103528 32207056 39396131 78792262 157584524 275772917 315169048 551545834 630338096 1103091668 2206183336 4412366672