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2045447064 = 233229396959
BaseRepresentation
bin111100111101011…
…0000101110011000
312021112212110212200
41321322300232120
513142113301224
6534545010200
7101455004343
oct17172605630
95245773780
102045447064
1195a668721
12491023960
132679ca30b
1415592945a
15be88d5c9
hex79eb0b98

2045447064 has 48 divisors (see below), whose sum is σ = 5558716800. Its totient is φ = 679481664.

The previous prime is 2045447009. The next prime is 2045447069. The reversal of 2045447064 is 4607445402.

2045447064 is a `hidden beast` number, since 204 + 5 + 447 + 0 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045447069) 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 11 ways as a sum of consecutive naturals, for example, 27384 + ... + 69575.

It is an arithmetic number, because the mean of its divisors is an integer number (115806600).

Almost surely, 22045447064 is an apocalyptic number.

2045447064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2045447064 is an abundant number, since it is smaller than the sum of its proper divisors (3513269736).

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

2045447064 is a wasteful number, since it uses less digits than its factorization.

2045447064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97264 (or 97257 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 2045447064 is about 45226.6189759969. The cubic root of 2045447064 is about 1269.3929485595.

The spelling of 2045447064 in words is "two billion, forty-five million, four hundred forty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293 586 879 1172 1758 2344 2637 3516 5274 7032 10548 21096 96959 193918 290877 387836 581754 775672 872631 1163508 1745262 2327016 3490524 6981048 28408987 56817974 85226961 113635948 170453922 227271896 255680883 340907844 511361766 681815688 1022723532 2045447064