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6056427888 = 2433717117811
BaseRepresentation
bin1011010001111110…
…11100000101110000
3120122002020102012000
411220333130011300
544400421143023
62440550134000
7303040534110
oct55077340560
916562212160
106056427888
112628771a05
121210351300
13756994b54
144164db040
15256a82243
hex168fdc170

6056427888 has 160 divisors (see below), whose sum is σ = 21036510720. Its totient is φ = 1628605440.

The previous prime is 6056427887. The next prime is 6056427929. The reversal of 6056427888 is 8887246506.

6056427888 is a `hidden beast` number, since 6 + 0 + 564 + 2 + 78 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6056427887) 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 31 ways as a sum of consecutive naturals, for example, 7498 + ... + 110313.

It is an arithmetic number, because the mean of its divisors is an integer number (131478192).

Almost surely, 26056427888 is an apocalyptic number.

6056427888 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6056427888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10518255360).

6056427888 is an abundant number, since it is smaller than the sum of its proper divisors (14980082832).

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

6056427888 is a wasteful number, since it uses less digits than its factorization.

6056427888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117852 (or 117840 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 6056427888 is about 77823.0549901506. The cubic root of 6056427888 is about 1822.7992876708.

The spelling of 6056427888 in words is "six billion, fifty-six million, four hundred twenty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1071 1224 1428 1512 1836 1904 2142 2448 2856 3024 3213 3672 4284 5712 6426 7344 8568 12852 17136 25704 51408 117811 235622 353433 471244 706866 824677 942488 1060299 1413732 1649354 1884976 2002787 2120598 2474031 2827464 3180897 3298708 4005574 4241196 4948062 5654928 6008361 6361794 6597416 7422093 8011148 8482392 9896124 12016722 12723588 13194832 14019509 14844186 16022296 16964784 18025083 19792248 22266279 24033444 25447176 28039018 29688372 32044592 36050166 39584496 42058527 44532558 48066888 50894352 54075249 56078036 59376744 72100332 84117054 89065116 96133776 108150498 112156072 118753488 126175581 144200664 168234108 178130232 216300996 224312144 252351162 288401328 336468216 356260464 378526743 432601992 504702324 672936432 757053486 865203984 1009404648 1514106972 2018809296 3028213944 6056427888