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5590012608 = 26335367911
BaseRepresentation
bin1010011010011000…
…01101001011000000
3112102120121001201000
411031030031023000
542422020400413
62322405212000
7255345215565
oct51514151300
915376531630
105590012608
112409464234
121100101000
136b116b58b
143b05a886c
1522ab50073
hex14d30d2c0

5590012608 has 224 divisors, whose sum is σ = 17012229120. Its totient is φ = 1798917120.

The previous prime is 5590012579. The next prime is 5590012609. The reversal of 5590012608 is 8062100955.

It is a happy number.

5590012608 is a `hidden beast` number, since 5 + 590 + 0 + 1 + 2 + 60 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5590012609) 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 31 ways as a sum of consecutive naturals, for example, 6135673 + ... + 6136583.

Almost surely, 25590012608 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 5590012608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8506114560).

5590012608 is an abundant number, since it is smaller than the sum of its proper divisors (11422216512).

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

5590012608 is a wasteful number, since it uses less digits than its factorization.

5590012608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5590012608 is about 74766.3868860867. The cubic root of 5590012608 is about 1774.7516793926.

The spelling of 5590012608 in words is "five billion, five hundred ninety million, twelve thousand, six hundred eight".