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44012560768 = 2711311100511
BaseRepresentation
bin101000111111010110…
…100110000110000000
311012121022101202002021
4220333112212012000
51210114203421033
632115153531224
73115446410461
oct507726460600
9135538352067
1044012560768
1117735a41370
128643873b14
1341c5481287
1421b7470d68
151228dddb2d
hexa3f5a6180

44012560768 has 64 divisors (see below), whose sum is σ = 95960816640. Its totient is φ = 19941184000.

The previous prime is 44012560751. The next prime is 44012560769. The reversal of 44012560768 is 86706521044.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44012560769) 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, 387633 + ... + 488143.

It is an arithmetic number, because the mean of its divisors is an integer number (1499387760).

Almost surely, 244012560768 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 44012560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47980408320).

44012560768 is an abundant number, since it is smaller than the sum of its proper divisors (51948255872).

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

44012560768 is a wasteful number, since it uses less digits than its factorization.

44012560768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100847 (or 100835 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 44012560768 in words is "forty-four billion, twelve million, five hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 311 352 622 704 1244 1408 2488 3421 4976 6842 9952 13684 19904 27368 39808 54736 100511 109472 201022 218944 402044 437888 804088 1105621 1608176 2211242 3216352 4422484 6432704 8844968 12865408 17689936 31258921 35379872 62517842 70759744 125035684 141519488 250071368 343848131 500142736 687696262 1000285472 1375392524 2000570944 2750785048 4001141888 5501570096 11003140192 22006280384 44012560768