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44163100416 = 28385966943
BaseRepresentation
bin101001001000010100…
…110110111100000000
311012222210122221122210
4221020110312330000
51210421223203131
632142132302120
73122255105541
oct511024667400
9135883587583
1044163100416
1117802a11aa6
128686171940
13421a70b9a6
1421cd45a4c8
151237228146
hexa48536f00

44163100416 has 72 divisors (see below), whose sum is σ = 117676840960. Its totient is φ = 14703676416.

The previous prime is 44163100393. The next prime is 44163100417. The reversal of 44163100416 is 61400136144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44163100417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 626241 + ... + 693183.

Almost surely, 244163100416 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 44163100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58838420480).

44163100416 is an abundant number, since it is smaller than the sum of its proper divisors (73513740544).

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

44163100416 is an equidigital number, since it uses as much as digits as its factorization.

44163100416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67821 (or 67807 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 44163100416 in words is "forty-four billion, one hundred sixty-three million, one hundred thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 859 1718 2577 3436 5154 6872 10308 13744 20616 27488 41232 54976 66943 82464 109952 133886 164928 200829 219904 267772 329856 401658 535544 659712 803316 1071088 1606632 2142176 3213264 4284352 6426528 8568704 12853056 17137408 25706112 51412224 57504037 115008074 172512111 230016148 345024222 460032296 690048444 920064592 1380096888 1840129184 2760193776 3680258368 5520387552 7360516736 11040775104 14721033472 22081550208 44163100416