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4018078054782 = 23211317310218783
BaseRepresentation
bin111010011110001000000…
…111010111100101111110
3112020010100202202000222200
4322132020013113211332
51011313010440223112
612313513553252330
7563203501640151
oct72361007274576
915203322660880
104018078054782
11130a06a346810
1254a8922640a6
13231b98257b7c
14dc694287c98
156e7bd130cdc
hex3a7881d797e

4018078054782 has 192 divisors, whose sum is σ = 9948801687552. Its totient is φ = 1160910144000.

The previous prime is 4018078054777. The next prime is 4018078054819. The reversal of 4018078054782 is 2874508708104.

4018078054782 is a `hidden beast` number, since 4 + 0 + 18 + 0 + 7 + 8 + 0 + 547 + 82 = 666.

It is a super-3 number, since 3×40180780547823 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 457479163 + ... + 457487945.

It is an arithmetic number, because the mean of its divisors is an integer number (51816675456).

Almost surely, 24018078054782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4018078054782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974400843776).

4018078054782 is an abundant number, since it is smaller than the sum of its proper divisors (5930723632770).

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

4018078054782 is a wasteful number, since it uses less digits than its factorization.

4018078054782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9927 (or 9924 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 4018078054782 in words is "four trillion, eighteen billion, seventy-eight million, fifty-four thousand, seven hundred eighty-two".