Search a number
-
+
5580000192 = 263132337271
BaseRepresentation
bin1010011001001100…
…00000101111000000
3112101212202101020210
411030212000233000
542411440001232
62321410434120
7255164135064
oct51446005700
915355671223
105580000192
112403845808
1210b8892940
136ac074180
143ad11daa4
15229d235cc
hex14c980bc0

5580000192 has 336 divisors, whose sum is σ = 17291377152. Its totient is φ = 1575383040.

The previous prime is 5580000157. The next prime is 5580000197. The reversal of 5580000192 is 2910000855.

It is a super-2 number, since 2×55800001922 = 62272804285440073728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5580000197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78591517 + ... + 78591587.

It is an arithmetic number, because the mean of its divisors is an integer number (51462432).

Almost surely, 25580000192 is an apocalyptic number.

5580000192 is a gapful number since it is divisible by the number (52) 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 5580000192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8645688576).

5580000192 is an abundant number, since it is smaller than the sum of its proper divisors (11711376960).

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

5580000192 is a wasteful number, since it uses less digits than its factorization.

5580000192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 5580000192 is about 74699.3988730833. The cubic root of 5580000192 is about 1773.6914449415.

The spelling of 5580000192 in words is "five billion, five hundred eighty million, one hundred ninety-two", and thus it is an aban number.