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56434243464 = 23323897512683
BaseRepresentation
bin110100100011101111…
…100011011110001000
312101122222222121100100
4310203233203132020
51411034131242324
641531525405400
74035331104024
oct644357433610
9171588877310
1056434243464
1121a2a728435
12ab2b869860
135424aa9691
142a35099384
1517046a74c9
hexd23be3788

56434243464 has 96 divisors (see below), whose sum is σ = 153496886400. Its totient is φ = 18731088000.

The previous prime is 56434243433. The next prime is 56434243469. The reversal of 56434243464 is 46434243465.

56434243464 is a `hidden beast` number, since 564 + 3 + 4 + 2 + 43 + 46 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (56434243469) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21032667 + ... + 21035349.

It is an arithmetic number, because the mean of its divisors is an integer number (1598925900).

Almost surely, 256434243464 is an apocalyptic number.

It is an amenable number.

56434243464 is an abundant number, since it is smaller than the sum of its proper divisors (97062642936).

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

56434243464 is a wasteful number, since it uses less digits than its factorization.

56434243464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835 (or 3828 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 45.

Subtracting from 56434243464 its reverse (46434243465), we obtain a palindrome (9999999999).

The spelling of 56434243464 in words is "fifty-six billion, four hundred thirty-four million, two hundred forty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 389 751 778 1167 1502 1556 2253 2334 2683 3004 3112 3501 4506 4668 5366 6008 6759 7002 8049 9012 9336 10732 13518 14004 16098 18024 21464 24147 27036 28008 32196 48294 54072 64392 96588 193176 292139 584278 876417 1043687 1168556 1752834 2014933 2087374 2337112 2629251 3131061 3505668 4029866 4174748 5258502 6044799 6262122 7011336 8059732 8349496 9393183 10517004 12089598 12524244 16119464 18134397 18786366 21034008 24179196 25048488 36268794 37572732 48358392 72537588 75145464 145075176 783808937 1567617874 2351426811 3135235748 4702853622 6270471496 7054280433 9405707244 14108560866 18811414488 28217121732 56434243464