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5608465920 = 29345173743
BaseRepresentation
bin1010011100100101…
…00110011000000000
3112110212022120220000
411032102212120000
542441231402140
62324304520000
7255661113411
oct51622463000
915425276800
105608465920
112418918502
121106320000
136b4c2c9b5
143b2c0d808
1522c597a30
hex14e4a6600

5608465920 has 800 divisors, whose sum is σ = 22352239008. Its totient is φ = 1337720832.

The previous prime is 5608465913. The next prime is 5608465931. The reversal of 5608465920 is 295648065.

5608465920 is a `hidden beast` number, since 56 + 0 + 8 + 4 + 6 + 592 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 130429419 + ... + 130429461.

Almost surely, 25608465920 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 5608465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11176119504).

5608465920 is an abundant number, since it is smaller than the sum of its proper divisors (16743773088).

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

5608465920 is a wasteful number, since it uses less digits than its factorization.

5608465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5608465920 is about 74889.6916804977. The cubic root of 5608465920 is about 1776.7024248504.

The spelling of 5608465920 in words is "five billion, six hundred eight million, four hundred sixty-five thousand, nine hundred twenty".