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44642869100820 = 22325248015939449
BaseRepresentation
bin10100010011010001110100…
…10110101100000100010100
312212001211001022020201122200
422021220322112230010110
521322412043442211240
6234540352334124500
712255224625204114
oct1211507226540424
9185054038221580
1044642869100820
1113251a30852181
125010106650730
131bbaa5c615633
14b04a2531b044
155263e4365930
hex289a3a5ac114

44642869100820 has 36 divisors (see below), whose sum is σ = 135416702939700. Its totient is φ = 11904765093504.

The previous prime is 44642869100777. The next prime is 44642869100857. The reversal of 44642869100820 is 2800196824644.

It is a happy number.

44642869100820 is a `hidden beast` number, since 446 + 42 + 86 + 9 + 1 + 0 + 0 + 82 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8983483584516 + 35659385516304 = 2997246^2 + 5971548^2 .

It is a tau number, because it is divible by the number of its divisors (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, 124007969545 + ... + 124007969904.

Almost surely, 244642869100820 is an apocalyptic number.

It is an amenable number.

44642869100820 is an abundant number, since it is smaller than the sum of its proper divisors (90773833838880).

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

44642869100820 is a wasteful number, since it uses less digits than its factorization.

44642869100820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248015939464 (or 248015939459 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 44642869100820 in words is "forty-four trillion, six hundred forty-two billion, eight hundred sixty-nine million, one hundred thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 248015939449 496031878898 744047818347 992063757796 1240079697245 1488095636694 2232143455041 2480159394490 2976191273388 3720239091735 4464286910082 4960318788980 7440478183470 8928573820164 11160717275205 14880956366940 22321434550410 44642869100820