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44320828216 = 2373129698599
BaseRepresentation
bin101001010001101110…
…100010101100111000
311020101210110100112011
4221101232202230320
51211232113000331
632205525055304
73126211552420
oct512156425470
9136353410464
1044320828216
1117883a52255
12870ab57534
1342442b5152
142206397480
151245ed23b1
hexa51ba2b38

44320828216 has 64 divisors (see below), whose sum is σ = 98081280000. Its totient is φ = 18373582080.

The previous prime is 44320828193. The next prime is 44320828217. The reversal of 44320828216 is 61282802344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44320828217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5149885 + ... + 5158483.

It is an arithmetic number, because the mean of its divisors is an integer number (1532520000).

Almost surely, 244320828216 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 44320828216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49040640000).

44320828216 is an abundant number, since it is smaller than the sum of its proper divisors (53760451784).

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

44320828216 is a wasteful number, since it uses less digits than its factorization.

44320828216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11612 (or 11608 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 44320828216 in words is "forty-four billion, three hundred twenty million, eight hundred twenty-eight thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1736 2969 5938 8599 11876 17198 20783 23752 34396 41566 60193 68792 83132 92039 120386 166264 184078 240772 266569 368156 481544 533138 644273 736312 1066276 1288546 1865983 2132552 2577092 3731966 5154184 7463932 14927864 25530431 51060862 102121724 178713017 204243448 357426034 714852068 791443361 1429704136 1582886722 3165773444 5540103527 6331546888 11080207054 22160414108 44320828216