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24980434704 = 2432131712
BaseRepresentation
bin10111010000111100…
…110010111100010000
32101110221002120021100
4113100330302330100
5402124442402304
615250441224400
71543016122461
oct272074627420
971427076240
1024980434704
11a659893365
124a11a92100
132481475c14
1412cd932d68
159b310a439
hex5d0f32f10

24980434704 has 45 divisors (see below), whose sum is σ = 69915830439. Its totient is φ = 8326179360.

The previous prime is 24980434697. The next prime is 24980434709. The reversal of 24980434704 is 40743408942.

The square root of 24980434704 is 158052.

It is a perfect power (a square), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 24980434704.

It is not an unprimeable number, because it can be changed into a prime (24980434709) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1890039 + ... + 1903209.

Almost surely, 224980434704 is an apocalyptic number.

24980434704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

24980434704 is the 158052-nd square number.

It is an amenable number.

24980434704 is an abundant number, since it is smaller than the sum of its proper divisors (44935395735).

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

24980434704 is an frugal number, since it uses more digits than its factorization.

24980434704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26356 (or 13176 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

It can be divided in two parts, 24980 and 434704, that added together give a square (459684 = 6782).

The spelling of 24980434704 in words is "twenty-four billion, nine hundred eighty million, four hundred thirty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 13171 26342 39513 52684 79026 105368 118539 158052 210736 237078 316104 474156 632208 948312 1896624 173475241 346950482 520425723 693900964 1040851446 1387801928 1561277169 2081702892 2775603856 3122554338 4163405784 6245108676 8326811568 12490217352 24980434704