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46441513307268 = 22321290042036313
BaseRepresentation
bin10101000111101000000011…
…11001110100110010000100
320002102202122220122110000100
422203310001321310302010
522041344204401313033
6242434534153444100
712532200664540242
oct1243640171646204
9202382586573010
1046441513307268
111388580a597022
125260814a10630
131cbb5539b9421
14b67ad1a03792
155580b4d5c513
hex2a3d01e74c84

46441513307268 has 18 divisors (see below), whose sum is σ = 117393825304574. Its totient is φ = 15480504435744.

The previous prime is 46441513307261. The next prime is 46441513307297. The reversal of 46441513307268 is 86270331514464.

46441513307268 is a `hidden beast` number, since 4 + 6 + 4 + 41 + 5 + 1 + 330 + 7 + 268 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43412180019264 + 3029333288004 = 6588792^2 + 1740498^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (46441513307261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 645021018121 + ... + 645021018192.

Almost surely, 246441513307268 is an apocalyptic number.

It is an amenable number.

46441513307268 is an abundant number, since it is smaller than the sum of its proper divisors (70952311997306).

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

46441513307268 is a wasteful number, since it uses less digits than its factorization.

46441513307268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290042036323 (or 1290042036318 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 46441513307268 in words is "forty-six trillion, four hundred forty-one billion, five hundred thirteen million, three hundred seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1290042036313 2580084072626 3870126108939 5160168145252 7740252217878 11610378326817 15480504435756 23220756653634 46441513307268