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4129046152 = 237211832139
BaseRepresentation
bin1111011000011100…
…0011111010001000
3101122202112021111021
43312013003322020
531424013434102
61521415442224
7204215212300
oct36607037210
911582467437
104129046152
111829814540
12972986374
1350a594c9a
142b2546600
15192766137
hexf61c3e88

4129046152 has 144 divisors (see below), whose sum is σ = 10016017200. Its totient is φ = 1577903040.

The previous prime is 4129046111. The next prime is 4129046177. The reversal of 4129046152 is 2516409214.

4129046152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29705299 + ... + 29705437.

It is an arithmetic number, because the mean of its divisors is an integer number (69555675).

Almost surely, 24129046152 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 4129046152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008008600).

4129046152 is an abundant number, since it is smaller than the sum of its proper divisors (5886971048).

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

4129046152 is a wasteful number, since it uses less digits than its factorization.

4129046152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 4129046152 is about 64257.6544234226. The cubic root of 4129046152 is about 1604.2913642056.

The spelling of 4129046152 in words is "four billion, one hundred twenty-nine million, forty-six thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 83 88 98 139 154 166 196 278 308 332 392 539 556 581 616 664 913 973 1078 1112 1162 1529 1826 1946 2156 2324 3058 3652 3892 4067 4312 4648 6116 6391 6811 6889 7304 7784 8134 10703 11537 12232 12782 13622 13778 16268 21406 23074 25564 27244 27556 32536 42812 44737 46148 48223 51128 54488 55112 74921 75779 80759 85624 89474 92296 96446 126907 149842 151558 161518 178948 192892 253814 299684 303116 323036 337561 357896 385784 507628 530453 565313 599368 606232 646072 675122 888349 957571 1015256 1060906 1130626 1350244 1776698 1915142 2121812 2261252 2700488 3553396 3713171 3830284 4243624 4522504 6218443 6702997 7106792 7426342 7660568 10533281 12436886 13405994 14852684 21066562 24873772 26811988 29705368 42133124 46920979 49747544 53623976 73732967 84266248 93841958 147465934 187683916 294931868 375367832 516130769 589863736 1032261538 2064523076 4129046152