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2563084134 = 234135322963
BaseRepresentation
bin1001100011000101…
…1000111101100110
320121121220011110000
42120301120331212
520222122143014
61102155442130
7120341566332
oct23061307546
96547804400
102563084134
1110a5881056
125b6456346
1331b019140
141a45927c2
1510003c509
hex98c58f66

2563084134 has 80 divisors (see below), whose sum is σ = 6301964592. Its totient is φ = 773727552.

The previous prime is 2563084133. The next prime is 2563084151. The reversal of 2563084134 is 4314803652.

2563084134 is a `hidden beast` number, since 2 + 5 + 630 + 8 + 4 + 13 + 4 = 666.

2563084134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563084133) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100137 + ... + 123099.

Almost surely, 22563084134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563084134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150982296).

2563084134 is an abundant number, since it is smaller than the sum of its proper divisors (3738880458).

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

2563084134 is a wasteful number, since it uses less digits than its factorization.

2563084134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23043 (or 23034 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2563084134 is about 50626.9111639255. The cubic root of 2563084134 is about 1368.5298905208.

Adding to 2563084134 its reverse (4314803652), we get a palindrome (6877887786).

The spelling of 2563084134 in words is "two billion, five hundred sixty-three million, eighty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 53 54 78 81 106 117 159 162 234 318 351 477 689 702 954 1053 1378 1431 2067 2106 2862 4134 4293 6201 8586 12402 18603 22963 37206 45926 55809 68889 111618 137778 206667 298519 413334 597038 620001 895557 1217039 1240002 1791114 1860003 2434078 2686671 3651117 3720006 5373342 7302234 8060013 10953351 15821507 16120026 21906702 24180039 31643014 32860053 47464521 48360078 65720106 94929042 98580159 142393563 197160318 284787126 427180689 854361378 1281542067 2563084134