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46066444020 = 22325255924689
BaseRepresentation
bin101010111001110001…
…100010011011110100
311101220110010211020100
4222321301202123310
51223321002202040
633055043434100
73220366212342
oct527161423364
9141813124210
1046066444020
111859a341243
128b17685930
134461b433cc
142330154992
1512e9396b30
hexab9c626f4

46066444020 has 36 divisors (see below), whose sum is σ = 139734880740. Its totient is φ = 12284385024.

The previous prime is 46066444009. The next prime is 46066444049. The reversal of 46066444020 is 2044466064.

It is a happy number.

46066444020 is a `hidden beast` number, since 4 + 6 + 0 + 6 + 644 + 4 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35854937316 + 10211506704 = 189354^2 + 101052^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127962165 + ... + 127962524.

It is an arithmetic number, because the mean of its divisors is an integer number (3881524465).

Almost surely, 246066444020 is an apocalyptic number.

It is an amenable number.

46066444020 is an abundant number, since it is smaller than the sum of its proper divisors (93668436720).

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

46066444020 is a wasteful number, since it uses less digits than its factorization.

46066444020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255924704 (or 255924699 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 46066444020 in words is "forty-six billion, sixty-six million, four hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 255924689 511849378 767774067 1023698756 1279623445 1535548134 2303322201 2559246890 3071096268 3838870335 4606644402 5118493780 7677740670 9213288804 11516611005 15355481340 23033222010 46066444020