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2543551136 = 257431991327
BaseRepresentation
bin1001011110011011…
…1000001010100000
320120021010210012122
42113212320022200
520202122114021
61100221043412
7120013553660
oct22746701240
96507123178
102543551136
11109584a685
125ab9b6568
13316c6a459
141a1b4a1a0
15ed47ebab
hex979b82a0

2543551136 has 96 divisors (see below), whose sum is σ = 5889945600. Its totient is φ = 1058593536.

The previous prime is 2543551121. The next prime is 2543551139. The reversal of 2543551136 is 6311553452.

It is a junction number, because it is equal to n+sod(n) for n = 2543551096 and 2543551105.

It is not an unprimeable number, because it can be changed into a prime (2543551139) 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, 1916105 + ... + 1917431.

It is an arithmetic number, because the mean of its divisors is an integer number (61353600).

Almost surely, 22543551136 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 2543551136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944972800).

2543551136 is an abundant number, since it is smaller than the sum of its proper divisors (3346394464).

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

2543551136 is a wasteful number, since it uses less digits than its factorization.

2543551136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1578 counting only the distinct ones).

The product of its digits is 54000, while the sum is 35.

The square root of 2543551136 is about 50433.6310015450. The cubic root of 2543551136 is about 1365.0445469323.

The spelling of 2543551136 in words is "two billion, five hundred forty-three million, five hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 199 224 301 344 398 602 688 796 1204 1327 1376 1393 1592 2408 2654 2786 3184 4816 5308 5572 6368 8557 9289 9632 10616 11144 17114 18578 21232 22288 34228 37156 42464 44576 57061 59899 68456 74312 114122 119798 136912 148624 228244 239596 264073 273824 297248 399427 456488 479192 528146 798854 912976 958384 1056292 1597708 1825952 1848511 1916768 2112584 3195416 3697022 4225168 6390832 7394044 8450336 11355139 12781664 14788088 22710278 29576176 45420556 59152352 79485973 90841112 158971946 181682224 317943892 363364448 635887784 1271775568 2543551136