Search a number
-
+
5361720000 = 26354713491
BaseRepresentation
bin1001111111001010…
…10101101011000000
3111211200000121010020
410333211111223000
541440100020000
62244012133440
7246603603510
oct47745255300
914750017106
105361720000
11230160765a
121057767280
13675a894b0
1438c13d840
15215aa7ba0
hex13f955ac0

5361720000 has 560 divisors, whose sum is σ = 21862401792. Its totient is φ = 1128960000.

The previous prime is 5361719963. The next prime is 5361720011. The reversal of 5361720000 is 271635.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10919755 + ... + 10920245.

Almost surely, 25361720000 is an apocalyptic number.

5361720000 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 5361720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10931200896).

5361720000 is an abundant number, since it is smaller than the sum of its proper divisors (16500681792).

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

5361720000 is a wasteful number, since it uses less digits than its factorization.

5361720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 5361720000 is about 73223.7666335187. The cubic root of 5361720000 is about 1750.2552008777.

Adding to 5361720000 its reverse (271635), we get a palindrome (5361991635).

The spelling of 5361720000 in words is "five billion, three hundred sixty-one million, seven hundred twenty thousand".