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44848317312 = 273238930831
BaseRepresentation
bin101001110001001010…
…110000001110000000
311021202120000120112100
4221301022300032000
51213322132123222
632334131030400
73145245256461
oct516112601600
9137676016470
1044848317312
1118024784657
12883773b400
1342c9673386
142256466d68
15127747a4ac
hexa712b0380

44848317312 has 48 divisors (see below), whose sum is σ = 129055708080. Its totient is φ = 14949438720.

The previous prime is 44848317281. The next prime is 44848317317. The reversal of 44848317312 is 21371384844.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×448483173123 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44848317317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19464264 + ... + 19466567.

It is an arithmetic number, because the mean of its divisors is an integer number (2688660585).

Almost surely, 244848317312 is an apocalyptic number.

It is an amenable number.

44848317312 is an abundant number, since it is smaller than the sum of its proper divisors (84207390768).

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

44848317312 is a wasteful number, since it uses less digits than its factorization.

44848317312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38930851 (or 38930836 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 44848317312 in words is "forty-four billion, eight hundred forty-eight million, three hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 38930831 77861662 116792493 155723324 233584986 311446648 350377479 467169972 622893296 700754958 934339944 1245786592 1401509916 1868679888 2491573184 2803019832 3737359776 4983146368 5606039664 7474719552 11212079328 14949439104 22424158656 44848317312