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5454241920 = 27355172063
BaseRepresentation
bin1010001010001100…
…10010000010000000
3112002010010012100000
411011012102002000
542132241220140
62301115200000
7252106201641
oct50506220200
915063105300
105454241920
112349860756
121082746000
1368bcb22aa
1439a5456c8
1521dc81a30
hex145192080

5454241920 has 384 divisors, whose sum is σ = 20690691840. Its totient is φ = 1368244224.

The previous prime is 5454241907. The next prime is 5454241921. The reversal of 5454241920 is 291424545.

It is a happy number.

5454241920 is a `hidden beast` number, since 5 + 45 + 424 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5454241921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2642809 + ... + 2644871.

It is an arithmetic number, because the mean of its divisors is an integer number (53882010).

Almost surely, 25454241920 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 5454241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10345345920).

5454241920 is an abundant number, since it is smaller than the sum of its proper divisors (15236449920).

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

5454241920 is a wasteful number, since it uses less digits than its factorization.

5454241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5454241920 is about 73852.8396204235. The cubic root of 5454241920 is about 1760.2653181283.

The spelling of 5454241920 in words is "five billion, four hundred fifty-four million, two hundred forty-one thousand, nine hundred twenty".