Search a number
-
+
5412718080 = 29355711113
BaseRepresentation
bin1010000101001111…
…11000011000000000
3111222012222120100000
411002213320120000
542041123434310
62253033200000
7251063226120
oct50247703000
914865876300
105412718080
11232837a230
121070860000
13683503c83
14394c16c80
1521a2cd4c0
hex1429f8600

5412718080 has 960 divisors, whose sum is σ = 24451435008. Its totient is φ = 1114767360.

The previous prime is 5412718061. The next prime is 5412718097. The reversal of 5412718080 is 808172145.

5412718080 is a `hidden beast` number, since 541 + 27 + 18 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47900104 + ... + 47900216.

Almost surely, 25412718080 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 5412718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12225717504).

5412718080 is an abundant number, since it is smaller than the sum of its proper divisors (19038716928).

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

5412718080 is a wasteful number, since it uses less digits than its factorization.

5412718080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 5412718080 is about 73571.1769648957. The cubic root of 5412718080 is about 1755.7868923604.

The spelling of 5412718080 in words is "five billion, four hundred twelve million, seven hundred eighteen thousand, eighty".