Search a number
-
+
5499293958144 = 2153279372843
BaseRepresentation
bin101000000000110011101…
…1101101000000000000000
3201110201122020210012022100
41100001213131220000000
51210100023223130034
615410201334510400
71105211426244450
oct120014735500000
921421566705270
105499293958144
111830268089298
12749972505400
1330b772b6889c
1415024acdbd60
15980b138c099
hex50067768000

5499293958144 has 384 divisors, whose sum is σ = 18181891990080. Its totient is φ = 1568997900288.

The previous prime is 5499293958143. The next prime is 5499293958161. The reversal of 5499293958144 is 4418593929945.

5499293958144 is a `hidden beast` number, since 5 + 4 + 9 + 9 + 2 + 9 + 39 + 581 + 4 + 4 = 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 (72).

It is not an unprimeable number, because it can be changed into a prime (5499293958143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1934326387 + ... + 1934329229.

Almost surely, 25499293958144 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 5499293958144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9090945995040).

5499293958144 is an abundant number, since it is smaller than the sum of its proper divisors (12682598031936).

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

5499293958144 is an equidigital number, since it uses as much as digits as its factorization.

5499293958144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3792 counting only the distinct ones).

The product of its digits is 503884800, while the sum is 72.

The spelling of 5499293958144 in words is "five trillion, four hundred ninety-nine billion, two hundred ninety-three million, nine hundred fifty-eight thousand, one hundred forty-four".