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46442048115148 = 227176131714093581
BaseRepresentation
bin10101000111101001000011…
…10001111101000111001100
320002102211001011222111111121
422203310201301331013030
522041401303304141043
6242435103220330324
712532220150406010
oct1243644161750714
9202384034874447
1046442048115148
1113885a64468104
125260943b439a4
131cbb60a73a9aa
14b67b42a5a540
155580e6c9dded
hex2a3d21c7d1cc

46442048115148 has 192 divisors, whose sum is σ = 100374648111360. Its totient is φ = 18349542604800.

The previous prime is 46442048115143. The next prime is 46442048115161. The reversal of 46442048115148 is 84151184024464.

46442048115148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46442048115095 and 46442048115104.

It is not an unprimeable number, because it can be changed into a prime (46442048115143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12969014718 + ... + 12969018298.

It is an arithmetic number, because the mean of its divisors is an integer number (522784625580).

Almost surely, 246442048115148 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 46442048115148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50187324055680).

46442048115148 is an abundant number, since it is smaller than the sum of its proper divisors (53932599996212).

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

46442048115148 is a wasteful number, since it uses less digits than its factorization.

46442048115148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5396 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 52.

The spelling of 46442048115148 in words is "forty-six trillion, four hundred forty-two billion, forty-eight million, one hundred fifteen thousand, one hundred forty-eight".