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44106541263852 = 22323434438639721
BaseRepresentation
bin10100000011101010110101…
…01110010110101111101100
312210011112200200210200120220
422001311122232112233230
521240120144030420402
6233450133151211340
712201410131621344
oct1201653256265754
9183145620720526
1044106541263852
111306552a763121
124b44187516b50
131b7c2c9140652
14ac6aa7501d24
155174a4313dbc
hex281d5ab96bec

44106541263852 has 192 divisors, whose sum is σ = 110274292187136. Its totient is φ = 13687614420480.

The previous prime is 44106541263793. The next prime is 44106541263871. The reversal of 44106541263852 is 25836214560144.

It is a junction number, because it is equal to n+sod(n) for n = 44106541263795 and 44106541263804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4537238352 + ... + 4537248072.

It is an arithmetic number, because the mean of its divisors is an integer number (574345271808).

Almost surely, 244106541263852 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 44106541263852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55137146093568).

44106541263852 is an abundant number, since it is smaller than the sum of its proper divisors (66167750923284).

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

44106541263852 is a wasteful number, since it uses less digits than its factorization.

44106541263852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100 (or 11098 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 44106541263852 in words is "forty-four trillion, one hundred six billion, five hundred forty-one million, two hundred sixty-three thousand, eight hundred fifty-two".