Search a number
-
+
4453420353552 = 243429157757997
BaseRepresentation
bin100000011001110010010…
…0010011100100000010000
3120202202001112002012120000
41000303210202130200100
51040431101102303202
613245512325450000
7636514623265122
oct100634442344020
916682045065500
104453420353552
111467759764295
125bb129570900
13263c569a7921
141157921bb212
157ac9c67191c
hex40ce489c810

4453420353552 has 400 divisors, whose sum is σ = 13450088834160. Its totient is φ = 1420847640576.

The previous prime is 4453420353479. The next prime is 4453420353563. The reversal of 4453420353552 is 2553530243544.

4453420353552 is a `hidden beast` number, since 4 + 4 + 5 + 3 + 42 + 0 + 3 + 53 + 552 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 122343250176 + 4331077103376 = 349776^2 + 2081124^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4453420353498 and 4453420353507.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4466820318 + ... + 4466821314.

Almost surely, 24453420353552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4453420353552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6725044417080).

4453420353552 is an abundant number, since it is smaller than the sum of its proper divisors (8996668480608).

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

4453420353552 is a wasteful number, since it uses less digits than its factorization.

4453420353552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 45.

The spelling of 4453420353552 in words is "four trillion, four hundred fifty-three billion, four hundred twenty million, three hundred fifty-three thousand, five hundred fifty-two".