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5475965040 = 2433571322143
BaseRepresentation
bin1010001100110010…
…01001100001110000
3112010121222211212000
411012121021201300
542203321340130
62303212534000
7252461635440
oct50631114160
915117884760
105475965040
112360048647
121089a81300
13693649b00
1439d39c120
15220b23260
hex146649870

5475965040 has 480 divisors, whose sum is σ = 23352791040. Its totient is φ = 1154829312.

The previous prime is 5475965039. The next prime is 5475965041. The reversal of 5475965040 is 405695745.

5475965040 is a `hidden beast` number, since 5 + 4 + 7 + 596 + 50 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5475965039) and next prime (5475965041).

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 (5475965041) 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 95 ways as a sum of consecutive naturals, for example, 2554209 + ... + 2556351.

It is an arithmetic number, because the mean of its divisors is an integer number (48651648).

Almost surely, 25475965040 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 5475965040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11676395520).

5475965040 is an abundant number, since it is smaller than the sum of its proper divisors (17876826000).

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

5475965040 is a wasteful number, since it uses less digits than its factorization.

5475965040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 5475965040 is about 73999.7637834068. The cubic root of 5475965040 is about 1762.5991469802.

The spelling of 5475965040 in words is "five billion, four hundred seventy-five million, nine hundred sixty-five thousand, forty".