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52684794800 = 24521116373459
BaseRepresentation
bin110001000100010000…
…100010101110110000
312000222200201212201022
4301010100202232300
51330344301413200
640111505555012
73543402236561
oct610420425660
9160880655638
1052684794800
1120386214130
12a264045a68
134c780615c1
14279b126168
151585424885
hexc44422bb0

52684794800 has 120 divisors (see below), whose sum is σ = 138931078080. Its totient is φ = 19040313600.

The previous prime is 52684794797. The next prime is 52684794817. The reversal of 52684794800 is 849748625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 680471 + ... + 753929.

It is an arithmetic number, because the mean of its divisors is an integer number (1157758984).

Almost surely, 252684794800 is an apocalyptic number.

52684794800 is a gapful number since it is divisible by the number (50) 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 52684794800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69465539040).

52684794800 is an abundant number, since it is smaller than the sum of its proper divisors (86246283280).

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

52684794800 is a wasteful number, since it uses less digits than its factorization.

52684794800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73651 (or 73640 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 53.

The spelling of 52684794800 in words is "fifty-two billion, six hundred eighty-four million, seven hundred ninety-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 163 176 200 220 275 326 400 440 550 652 815 880 1100 1304 1630 1793 2200 2608 3260 3586 4075 4400 6520 7172 8150 8965 13040 14344 16300 17930 28688 32600 35860 44825 65200 71720 73459 89650 143440 146918 179300 293836 358600 367295 587672 717200 734590 808049 1175344 1469180 1616098 1836475 2938360 3232196 3672950 4040245 5876720 6464392 7345900 8080490 11973817 12928784 14691800 16160980 20201225 23947634 29383600 32321960 40402450 47895268 59869085 64643920 80804900 95790536 119738170 131711987 161609800 191581072 239476340 263423974 299345425 323219600 478952680 526847948 598690850 658559935 957905360 1053695896 1197381700 1317119870 2107391792 2394763400 2634239740 3292799675 4789526800 5268479480 6585599350 10536958960 13171198700 26342397400 52684794800