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5472111744 = 2732112371061
BaseRepresentation
bin1010001100010100…
…11100110010000000
3112010100202002010100
411012022130302000
542201330033434
62302554202400
7252414116361
oct50612346200
915110662110
105472111744
112358956600
121088723400
136928cac58
1439ca77b68
15220611699
hex14629cc80

5472111744 has 288 divisors, whose sum is σ = 17792758620. Its totient is φ = 1611878400.

The previous prime is 5472111737. The next prime is 5472111779. The reversal of 5472111744 is 4471112745.

5472111744 is a `hidden beast` number, since 5 + 472 + 11 + 174 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4968558144 + 503553600 = 70488^2 + 22440^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5472111699 and 5472111708.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5156974 + ... + 5158034.

Almost surely, 25472111744 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 5472111744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8896379310).

5472111744 is an abundant number, since it is smaller than the sum of its proper divisors (12320646876).

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

5472111744 is a wasteful number, since it uses less digits than its factorization.

5472111744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1114 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 5472111744 is about 73973.7233347085. The cubic root of 5472111744 is about 1762.1856180472.

The spelling of 5472111744 in words is "five billion, four hundred seventy-two million, one hundred eleven thousand, seven hundred forty-four".