Search a number
-
+
5453969760 = 253651923107
BaseRepresentation
bin1010001010001010…
…01111100101100000
3112002002121101000000
411011011033211200
542132204013020
62301105300000
7252103656321
oct50505174540
915062541000
105453969760
112349695228
121082634600
1368bc18455
1439a4b4448
1521dc2b090
hex14514f960

5453969760 has 672 divisors, whose sum is σ = 21417903360. Its totient is φ = 1305621504.

The previous prime is 5453969753. The next prime is 5453969761. The reversal of 5453969760 is 679693545.

5453969760 is a `hidden beast` number, since 545 + 3 + 9 + 6 + 97 + 6 + 0 = 666.

It is a super-3 number, since 3×54539697603 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5453969697 and 5453969706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5453969761) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 50971627 + ... + 50971733.

It is an arithmetic number, because the mean of its divisors is an integer number (31871880).

Almost surely, 25453969760 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 5453969760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10708951680).

5453969760 is an abundant number, since it is smaller than the sum of its proper divisors (15963933600).

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

5453969760 is a wasteful number, since it uses less digits than its factorization.

5453969760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 5453969760 is about 73850.9970142584. The cubic root of 5453969760 is about 1760.2360392792.

The spelling of 5453969760 in words is "five billion, four hundred fifty-three million, nine hundred sixty-nine thousand, seven hundred sixty".