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2563042014 = 23513509797
BaseRepresentation
bin1001100011000100…
…1110101011011110
320121121211000200000
42120301032223132
520222114321024
61102154515130
7120341332461
oct23061165336
96547730600
102563042014
1110a5852445
125b6435aa6
1331b002c10
141a45812d8
1510002ecc9
hex98c4eade

2563042014 has 96 divisors (see below), whose sum is σ = 6221910240. Its totient is φ = 786091392.

The previous prime is 2563042003. The next prime is 2563042037. The reversal of 2563042014 is 4102403652.

2563042014 is a `hidden beast` number, since 2 + 5 + 630 + 4 + 20 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3215464 + ... + 3216260.

It is an arithmetic number, because the mean of its divisors is an integer number (64811565).

Almost surely, 22563042014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563042014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110955120).

2563042014 is an abundant number, since it is smaller than the sum of its proper divisors (3658868226).

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

2563042014 is a wasteful number, since it uses less digits than its factorization.

2563042014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2563042014 is about 50626.4951779204. The cubic root of 2563042014 is about 1368.5223939799.

Adding to 2563042014 its reverse (4102403652), we get a palindrome (6665445666).

The spelling of 2563042014 in words is "two billion, five hundred sixty-three million, forty-two thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 509 702 797 1018 1053 1527 1594 2106 2391 3054 3159 4581 4782 6318 6617 7173 9162 10361 13234 13743 14346 19851 20722 21519 27486 31083 39702 41229 43038 59553 62166 64557 82458 93249 119106 123687 129114 178659 186498 193671 247374 279747 357318 387342 405673 535977 559494 811346 839241 1071954 1217019 1607931 1678482 2434038 2517723 3215862 3651057 5035446 5273749 7302114 10547498 10953171 15821247 21906342 31642494 32859513 47463741 65719026 94927482 98578539 142391223 197157078 284782446 427173669 854347338 1281521007 2563042014