Search a number
-
+
5413576896 = 2633713173199
BaseRepresentation
bin1010000101010110…
…01010000011000000
3111222021121012102000
411002223022003000
542041333430041
62253103424000
7251103434010
oct50253120300
914867535360
105413576896
1123289064a2
121070bb5000
13683744b50
14394d9bc40
1521a3ecbb6
hex142aca0c0

5413576896 has 448 divisors, whose sum is σ = 19799808000. Its totient is φ = 1412370432.

The previous prime is 5413576879. The next prime is 5413576963. The reversal of 5413576896 is 6986753145.

5413576896 is a `hidden beast` number, since 54 + 13 + 576 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27203805 + ... + 27204003.

It is an arithmetic number, because the mean of its divisors is an integer number (44196000).

Almost surely, 25413576896 is an apocalyptic number.

5413576896 is a gapful number since it is divisible by the number (56) 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 5413576896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9899904000).

5413576896 is an abundant number, since it is smaller than the sum of its proper divisors (14386231104).

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

5413576896 is a wasteful number, since it uses less digits than its factorization.

5413576896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 397 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 5413576896 is about 73577.0133669477. The cubic root of 5413576896 is about 1755.8797488581.

The spelling of 5413576896 in words is "five billion, four hundred thirteen million, five hundred seventy-six thousand, eight hundred ninety-six".