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1010382782463 = 32112264753607
BaseRepresentation
bin11101011001111111000…
…00011011111111111111
310120120222022110102102200
432230333200123333333
5113023230443014323
62052055145322543
7132666140642565
oct16547740337777
93516868412380
101010382782463
1135a55681604a
1214399b196453
13743813797c2
1436c8d36ba35
151b438036443
hexeb3f81bfff

1010382782463 has 6 divisors (see below), whose sum is σ = 1459441796904. Its totient is φ = 673588521636.

The previous prime is 1010382782341. The next prime is 1010382782467. The reversal of 1010382782463 is 3642872830101.

1010382782463 is a `hidden beast` number, since 1 + 0 + 103 + 8 + 2 + 7 + 82 + 463 = 666.

It is not a de Polignac number, because 1010382782463 - 28 = 1010382782207 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010382782467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56132376795 + ... + 56132376812.

It is an arithmetic number, because the mean of its divisors is an integer number (243240299484).

Almost surely, 21010382782463 is an apocalyptic number.

1010382782463 is a deficient number, since it is larger than the sum of its proper divisors (449059014441).

1010382782463 is a wasteful number, since it uses less digits than its factorization.

1010382782463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112264753613 (or 112264753610 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1010382782463 in words is "one trillion, ten billion, three hundred eighty-two million, seven hundred eighty-two thousand, four hundred sixty-three".

Divisors: 1 3 9 112264753607 336794260821 1010382782463