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44744620696164 = 223815722632
BaseRepresentation
bin10100010110001111010110…
…01110001110001001100100
312212102112200112211100000000
422023013223032032021210
521331043440344234124
6235055221152021300
712265456261405434
oct1213075316161144
9185375615740000
1044744620696164
11132910a5990834
125027982b31830
131bc7526c97c0c
14b09918c542c4
15528d9c2466c9
hex28b1eb38e264

44744620696164 has 243 divisors, whose sum is σ = 118652651778297. Its totient is φ = 14763525038496.

The previous prime is 44744620696133. The next prime is 44744620696169. The reversal of 44744620696164 is 46169602644744.

The square root of 44744620696164 is 6689142.

It is a perfect power (a square), and thus also a powerful number.

44744620696164 is a `hidden beast` number, since 4 + 4 + 7 + 4 + 4 + 6 + 2 + 0 + 6 + 9 + 616 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13115334680100 + 31629286016064 = 3621510^2 + 5623992^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not an unprimeable number, because it can be changed into a prime (44744620696169) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 170131637497 + ... + 170131637759.

Almost surely, 244744620696164 is an apocalyptic number.

44744620696164 is the 6689142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44744620696164

44744620696164 is an abundant number, since it is smaller than the sum of its proper divisors (73908031082133).

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

44744620696164 is an frugal number, since it uses more digits than its factorization.

44744620696164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 44744620696164 in words is "forty-four trillion, seven hundred forty-four billion, six hundred twenty million, six hundred ninety-six thousand, one hundred sixty-four".