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5669501040 = 24355761683
BaseRepresentation
bin1010100011110110…
…11011100001110000
3112122010011111100000
411101323123201300
543102343013130
62334325030000
7260331651360
oct52173334160
915563144300
105669501040
11244a316055
121122855300
136c477cb58
143bad7a9a0
15232b02260
hex151edb870

5669501040 has 480 divisors, whose sum is σ = 22969529856. Its totient is φ = 1272775680.

The previous prime is 5669501027. The next prime is 5669501041. The reversal of 5669501040 is 401059665.

5669501040 is a `hidden beast` number, since 56 + 69 + 501 + 0 + 40 = 666.

It is a super-2 number, since 2×56695010402 = 64286484085122163200, 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 = 5669500986 and 5669501004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5669501041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8300539 + ... + 8301221.

Almost surely, 25669501040 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 5669501040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11484764928).

5669501040 is an abundant number, since it is smaller than the sum of its proper divisors (17300028816).

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

5669501040 is a wasteful number, since it uses less digits than its factorization.

5669501040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5669501040 is about 75296.0891414687. The cubic root of 5669501040 is about 1783.1242777814.

The spelling of 5669501040 in words is "five billion, six hundred sixty-nine million, five hundred one thousand, forty".