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2543441056 = 251329434903
BaseRepresentation
bin1001011110011001…
…1101010010100000
320120020221012012121
42113212131102200
520202110103211
61100214434024
7120012615022
oct22746352240
96506835177
102543441056
111095784a02
125ab962914
13316c2c310
141a1b1c012
15ed45c271
hex9799d4a0

2543441056 has 96 divisors (see below), whose sum is σ = 5709432960. Its totient is φ = 1106832384.

The previous prime is 2543441051. The next prime is 2543441071. The reversal of 2543441056 is 6501443452.

It is not an unprimeable number, because it can be changed into a prime (2543441051) 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, 516301 + ... + 521203.

It is an arithmetic number, because the mean of its divisors is an integer number (59473260).

Almost surely, 22543441056 is an apocalyptic number.

2543441056 is a gapful number since it is divisible by the number (26) 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 2543441056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854716480).

2543441056 is an abundant number, since it is smaller than the sum of its proper divisors (3165991904).

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

2543441056 is a wasteful number, since it uses less digits than its factorization.

2543441056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 2543441056 is about 50432.5396544731. The cubic root of 2543441056 is about 1365.0248544809.

The spelling of 2543441056 in words is "two billion, five hundred forty-three million, four hundred forty-one thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 29 32 43 52 58 86 104 116 172 208 232 344 377 416 464 559 688 754 928 1118 1247 1376 1508 2236 2494 3016 4472 4903 4988 6032 8944 9806 9976 12064 16211 17888 19612 19952 32422 39224 39904 63739 64844 78448 127478 129688 142187 156896 210829 254956 259376 284374 421658 509912 518752 568748 843316 1019824 1137496 1686632 1848431 2039648 2274992 2740777 3373264 3696862 4549984 5481554 6114041 6746528 7393724 10963108 12228082 14787448 21926216 24456164 29574896 43852432 48912328 59149792 79482533 87704864 97824656 158965066 195649312 317930132 635860264 1271720528 2543441056