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40182452856 = 233271310695737
BaseRepresentation
bin100101011011000011…
…111001001001111000
310211201101101002202200
4211123003321021320
51124243201442411
630243133230200
72621521133220
oct453303711170
9124641332680
1040182452856
111604aa46627
127955032360
133a34b04a30
141d32903080
1510a2a26e56
hex95b0f9278

40182452856 has 192 divisors, whose sum is σ = 134090174400. Its totient is φ = 10585810944.

The previous prime is 40182452839. The next prime is 40182452861. The reversal of 40182452856 is 65825428104.

40182452856 is a `hidden beast` number, since 40 + 1 + 82 + 4 + 528 + 5 + 6 = 666.

40182452856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401824528562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7001220 + ... + 7006956.

It is an arithmetic number, because the mean of its divisors is an integer number (698386325).

Almost surely, 240182452856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40182452856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67045087200).

40182452856 is an abundant number, since it is smaller than the sum of its proper divisors (93907721544).

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

40182452856 is a wasteful number, since it uses less digits than its factorization.

40182452856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6838 (or 6831 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 40182452856 in words is "forty billion, one hundred eighty-two million, four hundred fifty-two thousand, eight hundred fifty-six".