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248435313472 = 266416055853
BaseRepresentation
bin1110011101011111100…
…1100000101101000000
3212202020212212112201101
43213113321200231000
513032243420012342
6310043554544144
723643313215313
oct3472771405500
9782225775641
10248435313472
11963a7292095
1240194598054
131a572b6b788
14c04aab097a
1566e07933b7
hex39d7e60b40

248435313472 has 28 divisors (see below), whose sum is σ = 493758000036. Its totient is φ = 124023848960.

The previous prime is 248435313397. The next prime is 248435313481. The reversal of 248435313472 is 274313534842.

248435313472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 124880251456 + 123555062016 = 353384^2 + 351504^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2986903 + ... + 3068950.

It is an arithmetic number, because the mean of its divisors is an integer number (17634214287).

Almost surely, 2248435313472 is an apocalyptic number.

It is an amenable number.

248435313472 is a deficient number, since it is larger than the sum of its proper divisors (245322686564).

248435313472 is an equidigital number, since it uses as much as digits as its factorization.

248435313472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6056506 (or 6056496 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 46.

The spelling of 248435313472 in words is "two hundred forty-eight billion, four hundred thirty-five million, three hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 641 1282 2564 5128 10256 20512 41024 6055853 12111706 24223412 48446824 96893648 193787296 387574592 3881801773 7763603546 15527207092 31054414184 62108828368 124217656736 248435313472