Search a number
-
+
5483796855264 = 253572131378081
BaseRepresentation
bin100111111001100101111…
…0000110111100111100000
3201102020122020020210200000
41033303023300313213200
51204321303443332024
615355115502100000
71104122412115500
oct117631360674740
921366566223600
105483796855264
1118247353a9552
1274696857a600
1330a173340320
1414d5baa77a00
15979a5ad2cc9
hex4fccbc379e0

5483796855264 has 864 divisors, whose sum is σ = 20409988356576. Its totient is φ = 1435541667840.

The previous prime is 5483796855263. The next prime is 5483796855289. The reversal of 5483796855264 is 4625586973845.

5483796855264 is a `hidden beast` number, since 5 + 4 + 8 + 3 + 7 + 9 + 6 + 8 + 552 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5483796855192 and 5483796855201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5483796855263) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 678599704 + ... + 678607784.

It is an arithmetic number, because the mean of its divisors is an integer number (23622671709).

Almost surely, 25483796855264 is an apocalyptic number.

5483796855264 is a gapful number since it is divisible by the number (54) 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 5483796855264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10204994178288).

5483796855264 is an abundant number, since it is smaller than the sum of its proper divisors (14926191501312).

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

5483796855264 is a wasteful number, since it uses less digits than its factorization.

5483796855264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8270 (or 8243 counting only the distinct ones).

The product of its digits is 1741824000, while the sum is 72.

The spelling of 5483796855264 in words is "five trillion, four hundred eighty-three billion, seven hundred ninety-six million, eight hundred fifty-five thousand, two hundred sixty-four".