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248423442130380 = 2235112316365180641
BaseRepresentation
bin111000011111000010010111…
…000001011010010111001100
31012120121001022211000110012010
4320133002113001122113030
5230030132202141133010
62240204053120141220
7103220000324203206
oct7037022701322714
91176531284013163
10248423442130380
1172178876773520
1223a42164167810
13a8802cb61a99a
14454ba8a03d776
151dac0e5661620
hexe1f09705a5cc

248423442130380 has 96 divisors (see below), whose sum is σ = 791812900182528. Its totient is φ = 57605435852800.

The previous prime is 248423442130361. The next prime is 248423442130411. The reversal of 248423442130380 is 83031244324842.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8182575141 + ... + 8182605500.

It is an arithmetic number, because the mean of its divisors is an integer number (8248051043568).

Almost surely, 2248423442130380 is an apocalyptic number.

248423442130380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248423442130380 is an abundant number, since it is smaller than the sum of its proper divisors (543389458052148).

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

248423442130380 is a wasteful number, since it uses less digits than its factorization.

248423442130380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16365180687 (or 16365180685 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 48.

The spelling of 248423442130380 in words is "two hundred forty-eight trillion, four hundred twenty-three billion, four hundred forty-two million, one hundred thirty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 15180 16365180641 32730361282 49095541923 65460722564 81825903205 98191083846 163651806410 180016987051 196382167692 245477709615 327303612820 360033974102 376399154743 490955419230 540050961153 720067948204 752798309486 900084935255 981910838460 1080101922306 1129197464229 1505596618972 1800169870510 1881995773715 2160203844612 2258394928458 2700254805765 3600339741020 3763991547430 4140390702173 4516789856916 5400509611530 5645987321145 7527983094860 8280781404346 10801019223060 11291974642290 12421172106519 16561562808692 20701953510865 22583949284580 24842344213038 41403907021730 49684688426076 62105860532595 82807814043460 124211721065190 248423442130380