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5477345280 = 211335111801
BaseRepresentation
bin1010001100111100…
…11010100000000000
3112010201120222012000
411012132122200000
542204200022110
62303302304000
7252506444451
oct50636324000
915121528160
105477345280
112360900640
12108a428000
13693a11114
1439d63b128
15220ce71c0
hex14679a800

5477345280 has 384 divisors, whose sum is σ = 21252067200. Its totient is φ = 1327104000.

The previous prime is 5477345273. The next prime is 5477345287. The reversal of 5477345280 is 825437745.

5477345280 is a `hidden beast` number, since 54 + 7 + 73 + 4 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5477345273) and next prime (5477345287).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×54773452802 = 60002622632676556800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5477345287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3040380 + ... + 3042180.

It is an arithmetic number, because the mean of its divisors is an integer number (55343925).

Almost surely, 25477345280 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 5477345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10626033600).

5477345280 is an abundant number, since it is smaller than the sum of its proper divisors (15774721920).

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

5477345280 is a wasteful number, since it uses less digits than its factorization.

5477345280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The square root of 5477345280 is about 74009.0891715335. The cubic root of 5477345280 is about 1762.7472247137.

The spelling of 5477345280 in words is "five billion, four hundred seventy-seven million, three hundred forty-five thousand, two hundred eighty".