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4500320656 = 2413372812081
BaseRepresentation
bin1000011000011110…
…10111000110010000
3102121122010222100211
410030033113012100
533204040230111
62022321253504
7216344044246
oct41417270620
912548128324
104500320656
1119aa34a577
12a57194294
13569489740
14309990796
151b5153521
hex10c3d7190

4500320656 has 80 divisors (see below), whose sum is σ = 9682849008. Its totient is φ = 2012774400.

The previous prime is 4500320653. The next prime is 4500320681. The reversal of 4500320656 is 6560230054.

It can be written as a sum of positive squares in 8 ways, for example, as 16679056 + 4483641600 = 4084^2 + 66960^2 .

It is not an unprimeable number, because it can be changed into a prime (4500320653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2161536 + ... + 2163616.

Almost surely, 24500320656 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 4500320656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841424504).

4500320656 is an abundant number, since it is smaller than the sum of its proper divisors (5182528352).

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

4500320656 is a wasteful number, since it uses less digits than its factorization.

4500320656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 4500320656 is about 67084.4293111300. The cubic root of 4500320656 is about 1651.0028376931.

The spelling of 4500320656 in words is "four billion, five hundred million, three hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 281 296 481 562 592 962 1124 1924 2081 2248 3653 3848 4162 4496 7306 7696 8324 10397 14612 16648 20794 27053 29224 33296 41588 54106 58448 76997 83176 108212 135161 153994 166352 216424 270322 307988 432848 540644 584761 615976 1000961 1081288 1169522 1231952 2001922 2162576 2339044 4003844 4678088 7601893 8007688 9356176 15203786 16015376 21636157 30407572 43272314 60815144 86544628 121630288 173089256 281270041 346178512 562540082 1125080164 2250160328 4500320656