Search a number
-
+
5591643120 = 2432572967571
BaseRepresentation
bin1010011010100100…
…11011001111110000
3112102200122220100100
411031102123033300
542422430034440
62322504152400
7255365116350
oct51522331760
915380586310
105591643120
11240a378268
121100768700
136b15bc78b
143b08b0b60
1522ad73230
hex14d49b3f0

5591643120 has 480 divisors, whose sum is σ = 22572126720. Its totient is φ = 1213470720.

The previous prime is 5591643107. The next prime is 5591643193. The reversal of 5591643120 is 213461955.

5591643120 is a `hidden beast` number, since 5 + 5 + 9 + 1 + 643 + 1 + 2 + 0 = 666.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9792435 + ... + 9793005.

It is an arithmetic number, because the mean of its divisors is an integer number (47025264).

Almost surely, 25591643120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5591643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11286063360).

5591643120 is an abundant number, since it is smaller than the sum of its proper divisors (16980483600).

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

5591643120 is a wasteful number, since it uses less digits than its factorization.

5591643120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5591643120 is about 74777.2901354415. The cubic root of 5591643120 is about 1774.9242176202.

The spelling of 5591643120 in words is "five billion, five hundred ninety-one million, six hundred forty-three thousand, one hundred twenty".