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53452800000 = 216325529
BaseRepresentation
bin110001110010000010…
…010000000000000000
312002222012212120210100
4301302002100000000
51333432404100000
640320023002400
73601416206025
oct616202200000
9162865776710
1053452800000
112073a791876
12a439299400
13506b1c1552
14283112354c
1515cca7ba00
hexc72090000

53452800000 has 612 divisors, whose sum is σ = 199665697140. Its totient is φ = 13762560000.

The previous prime is 53452799947. The next prime is 53452800007. The reversal of 53452800000 is 825435.

53452800000 is a `hidden beast` number, since 534 + 52 + 80 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 43637538816 + 9815261184 = 208896^2 + 99072^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53452800007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1843199986 + ... + 1843200014.

Almost surely, 253452800000 is an apocalyptic number.

53452800000 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 53452800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99832848570).

53452800000 is an abundant number, since it is smaller than the sum of its proper divisors (146212897140).

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

53452800000 is an frugal number, since it uses more digits than its factorization.

53452800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 53452800000 in words is "fifty-three billion, four hundred fifty-two million, eight hundred thousand".