Search a number
-
+
2543711104 = 27112962297
BaseRepresentation
bin1001011110011101…
…1111001110000000
320120021102220122101
42113213133032000
520202142223404
61100224320144
7120015121234
oct22747371600
96507386571
102543711104
111095949890
125aba73054
13316cc51cc
141a1b8c5c4
15ed4b22a4
hex979df380

2543711104 has 64 divisors (see below), whose sum is σ = 5718956400. Its totient is φ = 1116344320.

The previous prime is 2543711099. The next prime is 2543711141. The reversal of 2543711104 is 4011173452.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×25437111042 = 12940932361225797632, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 9684 + ... + 71980.

Almost surely, 22543711104 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 2543711104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859478200).

2543711104 is an abundant number, since it is smaller than the sum of its proper divisors (3175245296).

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

2543711104 is a wasteful number, since it uses less digits than its factorization.

2543711104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62351 (or 62339 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 2543711104 is about 50435.2169024780. The cubic root of 2543711104 is about 1365.0731629441.

Adding to 2543711104 its reverse (4011173452), we get a palindrome (6554884556).

The spelling of 2543711104 in words is "two billion, five hundred forty-three million, seven hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 319 352 464 638 704 928 1276 1408 1856 2552 3712 5104 10208 20416 40832 62297 124594 249188 498376 685267 996752 1370534 1806613 1993504 2741068 3613226 3987008 5482136 7226452 7974016 10964272 14452904 19872743 21928544 28905808 39745486 43857088 57811616 79490972 87714176 115623232 158981944 231246464 317963888 635927776 1271855552 2543711104