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52420401300 = 223524383173283
BaseRepresentation
bin110000110100011111…
…111101100010010100
312000022021020022000110
4300310133331202110
51324324110320200
640025343043020
73534012026211
oct606437754224
9160267208013
1052420401300
112025aa4a403
12a1ab5a0470
134c3534c647
142773d80b08
15156c0eab50
hexc347fd894

52420401300 has 288 divisors, whose sum is σ = 158532853248. Its totient is φ = 13363822080.

The previous prime is 52420401287. The next prime is 52420401307. The reversal of 52420401300 is 310402425.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52420401307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185230959 + ... + 185231241.

It is an arithmetic number, because the mean of its divisors is an integer number (550461296).

Almost surely, 252420401300 is an apocalyptic number.

52420401300 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 52420401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79266426624).

52420401300 is an abundant number, since it is smaller than the sum of its proper divisors (106112451948).

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

52420401300 is a wasteful number, since it uses less digits than its factorization.

52420401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 52420401300 its reverse (310402425), we get a palindrome (52730803725).

The spelling of 52420401300 in words is "fifty-two billion, four hundred twenty million, four hundred one thousand, three hundred".