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486141864192 = 2832210999073
BaseRepresentation
bin1110001001100000101…
…00000010100100000000
31201110211001200110202100
413010300110002210000
530431104304123232
61011155215150400
750060022444135
oct7046024024400
91643731613670
10486141864192
111781984549a6
127a273b15400
1336ac604c90a
141975a91858c
15c9a41c3c7c
hex7130502900

486141864192 has 54 divisors (see below), whose sum is σ = 1401666848582. Its totient is φ = 162047287296.

The previous prime is 486141864191. The next prime is 486141864217. The reversal of 486141864192 is 291468141684.

486141864192 is a `hidden beast` number, since 4 + 8 + 6 + 141 + 86 + 419 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 310668005376 + 175473858816 = 557376^2 + 418896^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (486141864191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105497233 + ... + 105501840.

Almost surely, 2486141864192 is an apocalyptic number.

It is an amenable number.

486141864192 is an abundant number, since it is smaller than the sum of its proper divisors (915524984390).

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

486141864192 is a wasteful number, since it uses less digits than its factorization.

486141864192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210999095 (or 210999078 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 486141864192 in words is "four hundred eighty-six billion, one hundred forty-one million, eight hundred sixty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 210999073 421998146 632997219 843996292 1265994438 1687992584 1898991657 2531988876 3375985168 3797983314 5063977752 6751970336 7595966628 10127955504 13503940672 15191933256 20255911008 27007881344 30383866512 40511822016 54015762688 60767733024 81023644032 121535466048 162047288064 243070932096 486141864192