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5472109440 = 273357192381
BaseRepresentation
bin1010001100010100…
…11100001110000000
3112010100201221222000
411012022130032000
542201330000230
62302554144000
7252414106560
oct50612341600
915110657860
105472109440
1123589548a6
121088722000
136928c9ba5
1439ca76da0
15220610b60
hex14629c380

5472109440 has 512 divisors, whose sum is σ = 23324544000. Its totient is φ = 1184440320.

The previous prime is 5472109439. The next prime is 5472109453. The reversal of 5472109440 is 449012745.

It is a happy number.

5472109440 is a `hidden beast` number, since 547 + 2 + 109 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×54721094402 = 59887963446674227200, which contains 22 as substring.

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 = 5472109395 and 5472109404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2297050 + ... + 2299430.

It is an arithmetic number, because the mean of its divisors is an integer number (45555750).

Almost surely, 25472109440 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 5472109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11662272000).

5472109440 is an abundant number, since it is smaller than the sum of its proper divisors (17852434560).

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

5472109440 is a wasteful number, since it uses less digits than its factorization.

5472109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5472109440 is about 73973.7077616095. The cubic root of 5472109440 is about 1762.1853707279.

The spelling of 5472109440 in words is "five billion, four hundred seventy-two million, one hundred nine thousand, four hundred forty".