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5472188928 = 29310181
BaseRepresentation
bin1010001100010101…
…01111101000000000
3112010100220000000000
411012022233220000
542201340021203
62303000000000
7252414560403
oct50612575000
915110800000
105472188928
1123589a9598
121088760000
1369292711b
1439ca97d3a
152206294a3
hex1462afa00

5472188928 has 220 divisors, whose sum is σ = 16491052578. Its totient is φ = 1813985280.

The previous prime is 5472188923. The next prime is 5472188929. The reversal of 5472188928 is 8298812745.

5472188928 is a `hidden beast` number, since 5 + 472 + 1 + 88 + 92 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5457072384 + 15116544 = 73872^2 + 3888^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5472188923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 30232998 + ... + 30233178.

Almost surely, 25472188928 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 5472188928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8245526289).

5472188928 is an abundant number, since it is smaller than the sum of its proper divisors (11018863650).

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

5472188928 is an frugal number, since it uses more digits than its factorization.

5472188928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 186 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 5472188928 is about 73974.2450316325. The cubic root of 5472188928 is about 1762.1939032030.

The spelling of 5472188928 in words is "five billion, four hundred seventy-two million, one hundred eighty-eight thousand, nine hundred twenty-eight".