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5648201307 = 3371934357
BaseRepresentation
bin1010100001010100…
…01011011001011011
3112120122002100121000
411100222023121123
543031414420212
62332244320043
7256652630130
oct52052133133
915518070530
105648201307
112439298271
1211176a3023
136c0232c68
143b81d4587
15230ce61dc
hex150a8b65b

5648201307 has 64 divisors (see below), whose sum is σ = 10096614400. Its totient is φ = 3056971104.

The previous prime is 5648201303. The next prime is 5648201323. The reversal of 5648201307 is 7031028465.

5648201307 is a `hidden beast` number, since 5 + 648 + 2 + 0 + 1 + 3 + 0 + 7 = 666.

It is not a de Polignac number, because 5648201307 - 22 = 5648201303 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5648201303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1294173 + ... + 1298529.

It is an arithmetic number, because the mean of its divisors is an integer number (157759600).

Almost surely, 25648201307 is an apocalyptic number.

5648201307 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

5648201307 is a deficient number, since it is larger than the sum of its proper divisors (4448413093).

5648201307 is an equidigital number, since it uses as much as digits as its factorization.

5648201307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5648201307 is about 75154.5162116023. The cubic root of 5648201307 is about 1780.8884706276. Note that the first 3 decimals are identical.

The spelling of 5648201307 in words is "five billion, six hundred forty-eight million, two hundred one thousand, three hundred seven".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 361 399 513 1083 1197 2527 3249 3591 4357 6859 7581 9747 13071 20577 22743 30499 39213 48013 61731 68229 82783 91497 117639 144039 185193 248349 274491 432117 579481 745047 823473 1296351 1572877 1738443 2235141 4718631 5215329 11010139 14155893 15645987 29884663 33030417 42467679 89653989 99091251 209192641 268961967 297273753 627577923 806885901 1882733769 5648201307