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5475719040 = 27351117101151
BaseRepresentation
bin1010001100110000…
…01101011110000000
3112010121112100101220
411012120031132000
542203241002130
62303203355040
7252456562311
oct50630153600
915117470356
105475719040
11235a99a840
121089982a80
13693591b4c
1439d336608
15220ac5410
hex14660d780

5475719040 has 512 divisors, whose sum is σ = 20495047680. Its totient is φ = 1228800000.

The previous prime is 5475719033. The next prime is 5475719047. The reversal of 5475719040 is 409175745.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5475719033) and next prime (5475719047).

It is a super-3 number, since 3×54757190403 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5475718983 and 5475719001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5475719047) 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 63 ways as a sum of consecutive naturals, for example, 36262965 + ... + 36263115.

It is an arithmetic number, because the mean of its divisors is an integer number (40029390).

Almost surely, 25475719040 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 5475719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10247523840).

5475719040 is an abundant number, since it is smaller than the sum of its proper divisors (15019328640).

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

5475719040 is a wasteful number, since it uses less digits than its factorization.

5475719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 5475719040 is about 73998.1015972707. The cubic root of 5475719040 is about 1762.5727524921.

The spelling of 5475719040 in words is "five billion, four hundred seventy-five million, seven hundred nineteen thousand, forty".