Search a number
-
+
5189184000 = 29345371113
BaseRepresentation
bin1001101010100110…
…01010101000000000
3111101122100212020000
410311103022220000
541111412342000
62214530120000
7242410223220
oct46523125000
914348325200
105189184000
112223182820
121009a20000
136490c9aa0
1437326a080
15205876000
hex1354caa00

5189184000 has 1600 divisors, whose sum is σ = 25952838912. Its totient is φ = 995328000.

The previous prime is 5189183977. The next prime is 5189184019. The reversal of 5189184000 is 4819815.

It is a tau number, because it is divible by the number of its divisors (1600).

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 159 ways as a sum of consecutive naturals, for example, 399167994 + ... + 399168006.

Almost surely, 25189184000 is an apocalyptic number.

5189184000 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 5189184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12976419456).

5189184000 is an abundant number, since it is smaller than the sum of its proper divisors (20763654912).

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

5189184000 is a wasteful number, since it uses less digits than its factorization.

5189184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 5189184000 is about 72035.9910044972. The cubic root of 5189184000 is about 1731.2761920038.

The spelling of 5189184000 in words is "five billion, one hundred eighty-nine million, one hundred eighty-four thousand".