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4139555472 = 2432136073643
BaseRepresentation
bin1111011010111100…
…1001101010010000
3101200111022012120100
43312233021222100
531434211233342
61522433012400
7204403432563
oct36657115220
911614265510
104139555472
111834742328
129763b4100
1350c804610
142b3ac04da
1519363ee4c
hexf6bc9a90

4139555472 has 120 divisors (see below), whose sum is σ = 12500144384. Its totient is φ = 1271261952.

The previous prime is 4139555411. The next prime is 4139555473. The reversal of 4139555472 is 2745559314.

4139555472 is a `hidden beast` number, since 4 + 1 + 3 + 95 + 554 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4139555473) 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 23 ways as a sum of consecutive naturals, for example, 1134483 + ... + 1138125.

Almost surely, 24139555472 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 4139555472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6250072192).

4139555472 is an abundant number, since it is smaller than the sum of its proper divisors (8360588912).

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

4139555472 is a wasteful number, since it uses less digits than its factorization.

4139555472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277 (or 4268 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 4139555472 is about 64339.3773050377. The cubic root of 4139555472 is about 1605.6513011628.

The spelling of 4139555472 in words is "four billion, one hundred thirty-nine million, five hundred fifty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 607 624 936 1214 1821 1872 2428 3642 3643 4856 5463 7284 7286 7891 9712 10926 10929 14568 14572 15782 21852 21858 23673 29136 29144 31564 32787 43704 43716 47346 47359 58288 63128 65574 71019 87408 87432 94692 94718 126256 131148 142038 142077 174864 189384 189436 262296 284076 284154 378768 378872 426231 524592 568152 568308 757744 852462 1136304 1136616 1704924 2211301 2273232 3409848 4422602 6633903 6819696 8845204 13267806 17690408 19901709 26535612 28746913 35380816 39803418 53071224 57493826 79606836 86240739 106142448 114987652 159213672 172481478 229975304 258722217 318427344 344962956 459950608 517444434 689925912 1034888868 1379851824 2069777736 4139555472