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2064588288 = 2937533623
BaseRepresentation
bin111101100001111…
…0001111000000000
312022212212221200220
41323003301320000
513212013311123
6540511143040
7102106465560
oct17303617000
95285787626
102064588288
1196a451814
12497514a80
1326b96c899
141582acda0
15c13bece3
hex7b0f1e00

2064588288 has 160 divisors (see below), whose sum is σ = 6406304256. Its totient is φ = 578592768.

The previous prime is 2064588277. The next prime is 2064588289. The reversal of 2064588288 is 8828854602.

It is a self number, because there is not a number n which added to its sum of digits gives 2064588288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064588289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568045 + ... + 571667.

Almost surely, 22064588288 is an apocalyptic number.

2064588288 is a gapful number since it is divisible by the number (28) 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 2064588288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203152128).

2064588288 is an abundant number, since it is smaller than the sum of its proper divisors (4341715968).

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

2064588288 is an equidigital number, since it uses as much as digits as its factorization.

2064588288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The square root of 2064588288 is about 45437.7407889081. The cubic root of 2064588288 is about 1273.3403063009.

The spelling of 2064588288 in words is "two billion, sixty-four million, five hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 128 159 168 192 212 224 256 318 336 371 384 424 448 512 636 672 742 768 848 896 1113 1272 1344 1484 1536 1696 1792 2226 2544 2688 2968 3392 3584 3623 4452 5088 5376 5936 6784 7246 8904 10176 10752 10869 11872 13568 14492 17808 20352 21738 23744 25361 27136 28984 35616 40704 43476 47488 50722 57968 71232 76083 81408 86952 94976 101444 115936 142464 152166 173904 189952 192019 202888 231872 284928 304332 347808 384038 405776 463744 569856 576057 608664 695616 768076 811552 927488 1152114 1217328 1344133 1391232 1536152 1623104 1854976 2304228 2434656 2688266 2782464 3072304 3246208 4032399 4608456 4869312 5376532 5564928 6144608 6492416 8064798 9216912 9738624 10753064 12289216 12984832 16129596 18433824 19477248 21506128 24578432 32259192 36867648 38954496 43012256 49156864 64518384 73735296 86024512 98313728 129036768 147470592 172049024 258073536 294941184 344098048 516147072 688196096 1032294144 2064588288