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248424484424842 = 211210146643217907
BaseRepresentation
bin111000011111000011010101…
…001001011100110010001010
31012120121011000110021111101201
4320133003111021130302022
5230030141321003043332
62240204344352134414
7103220035211436445
oct7037032511346212
91176534013244351
10248424484424842
1172179261054800
1223a423b523740a
13a880436545b7b
14454bb4863a65c
151dac156de95e7
hexe1f0d525cc8a

248424484424842 has 48 divisors (see below), whose sum is σ = 413658572404896. Its totient is φ = 111799288172000.

The previous prime is 248424484424731. The next prime is 248424484424849.

248424484424842 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (248424484424849) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1139939253 + ... + 1140157159.

It is an arithmetic number, because the mean of its divisors is an integer number (8617886925102).

Almost surely, 2248424484424842 is an apocalyptic number.

248424484424842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

248424484424842 is a deficient number, since it is larger than the sum of its proper divisors (165234087980054).

248424484424842 is a wasteful number, since it uses less digits than its factorization.

248424484424842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264675 (or 264664 counting only the distinct ones).

The product of its digits is 536870912, while the sum is 64.

The spelling of 248424484424842 in words is "two hundred forty-eight trillion, four hundred twenty-four billion, four hundred eighty-four million, four hundred twenty-four thousand, eight hundred forty-two".

Divisors: 1 2 11 22 101 121 202 242 1111 2222 12221 24442 46643 93286 217907 435814 513073 1026146 2396977 4710943 4793954 5643803 9421886 11287606 22008607 26366747 44017214 51820373 52733494 103640746 242094677 484189354 570024103 1140048206 2663041447 5326082894 10163836201 20327672402 111802198211 223604396422 1026547456301 1229824180321 2053094912602 2459648360642 11292022019311 22584044038622 124212242212421 248424484424842