Search a number
-
+
5409180000 = 253654753
BaseRepresentation
bin1010000100110100…
…11000100101100000
3111221222022211000000
411002122120211200
542034222230000
62252425300000
7251021162040
oct50232304540
914858284000
105409180000
112326382aa4
12106b634600
13682865733
14394575720
15219d30000
hex142698960

5409180000 has 840 divisors, whose sum is σ = 23232475728. Its totient is φ = 1213056000.

The previous prime is 5409179999. The next prime is 5409180013. The reversal of 5409180000 is 819045.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 102059974 + ... + 102060026.

Almost surely, 25409180000 is an apocalyptic number.

5409180000 is a gapful number since it is divisible by the number (50) 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 5409180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11616237864).

5409180000 is an abundant number, since it is smaller than the sum of its proper divisors (17823295728).

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

5409180000 is an frugal number, since it uses more digits than its factorization.

5409180000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5409180000 is about 73547.1277481317. The cubic root of 5409180000 is about 1755.4042461294.

Adding to 5409180000 its reverse (819045), we get a palindrome (5409999045).

The spelling of 5409180000 in words is "five billion, four hundred nine million, one hundred eighty thousand".