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4149834112 = 27293533167
BaseRepresentation
bin1111011101011001…
…0111000110000000
3101201012122102012201
43313112113012000
531444324142422
61523441202544
7204560002504
oct36726270600
911635572181
104149834112
11183a522876
12979930454
13511992c58
142b51d8304
151944c0727
hexf7597180

4149834112 has 64 divisors (see below), whose sum is σ = 8579260800. Its totient is φ = 1997062144.

The previous prime is 4149834107. The next prime is 4149834119. The reversal of 4149834112 is 2114389414.

4149834112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×41498341122 = 34442246314237657088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4149834119) 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, 1308753 + ... + 1311919.

It is an arithmetic number, because the mean of its divisors is an integer number (134050950).

Almost surely, 24149834112 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 4149834112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289630400).

4149834112 is an abundant number, since it is smaller than the sum of its proper divisors (4429426688).

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

4149834112 is a wasteful number, since it uses less digits than its factorization.

4149834112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563 (or 3551 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 4149834112 is about 64419.2060801746. The cubic root of 4149834112 is about 1606.9791627904.

The spelling of 4149834112 in words is "four billion, one hundred forty-nine million, eight hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 353 464 706 928 1412 1856 2824 3167 3712 5648 6334 10237 11296 12668 20474 22592 25336 40948 45184 50672 81896 91843 101344 163792 183686 202688 327584 367372 405376 655168 734744 1117951 1310336 1469488 2235902 2938976 4471804 5877952 8943608 11755904 17887216 32420579 35774432 64841158 71548864 129682316 143097728 259364632 518729264 1037458528 2074917056 4149834112