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44422977916416 = 2931122937337661
BaseRepresentation
bin10100001100111000001111…
…10100011000111000000000
312211021210110201012011211210
422012130013310120320000
521310311224321311131
6234251345003010120
712233311543032621
oct1206340764307000
9184253421164753
1044422977916416
1113177751a24800
124b95579509940
131ba30b832aa78
14ad812559ba48
155208249bc146
hex286707d18e00

44422977916416 has 960 divisors, whose sum is σ = 138824720274240. Its totient is φ = 12589439385600.

The previous prime is 44422977916351. The next prime is 44422977916433. The reversal of 44422977916416 is 61461977922444.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67205715126 + ... + 67205715786.

It is an arithmetic number, because the mean of its divisors is an integer number (144609083619).

Almost surely, 244422977916416 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 44422977916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69412360137120).

44422977916416 is an abundant number, since it is smaller than the sum of its proper divisors (94401742357824).

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

44422977916416 is a wasteful number, since it uses less digits than its factorization.

44422977916416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1080 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 66.

The spelling of 44422977916416 in words is "forty-four trillion, four hundred twenty-two billion, nine hundred seventy-seven million, nine hundred sixteen thousand, four hundred sixteen".