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46382245056 = 26337109127277
BaseRepresentation
bin101011001100100110…
…001110010011000000
311102201110101011211000
4223030212032103000
51224442323320211
633150244252000
73231252402150
oct531446162300
9142643334730
1046382245056
1118741628234
128ba53a1000
1344b23b4324
14236007c760
151316e77656
hexacc98e4c0

46382245056 has 448 divisors, whose sum is σ = 159074713600. Its totient is φ = 12980072448.

The previous prime is 46382245033. The next prime is 46382245057. The reversal of 46382245056 is 65054228364.

46382245056 is a `hidden beast` number, since 4 + 63 + 82 + 2 + 4 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (46382245057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167444790 + ... + 167445066.

Almost surely, 246382245056 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 46382245056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79537356800).

46382245056 is an abundant number, since it is smaller than the sum of its proper divisors (112692468544).

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

46382245056 is a wasteful number, since it uses less digits than its factorization.

46382245056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 46382245056 in words is "forty-six billion, three hundred eighty-two million, two hundred forty-five thousand, fifty-six".