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44871135104 = 271935713181
BaseRepresentation
bin101001110010100001…
…110010111110000000
311021211010221211122202
4221302201302332000
51213344002310404
632340304052332
73145643232605
oct516241627600
9137733854582
1044871135104
1118036649a34
1288433040a8
134301302223
1422594c66ac
15127948621e
hexa72872f80

44871135104 has 64 divisors (see below), whose sum is σ = 90040544880. Its totient is φ = 22273228800.

The previous prime is 44871135077. The next prime is 44871135131. The reversal of 44871135104 is 40153117844.

It is an interprime number because it is at equal distance from previous prime (44871135077) and next prime (44871135131).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14104394 + ... + 14107574.

Almost surely, 244871135104 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 44871135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45020272440).

44871135104 is an abundant number, since it is smaller than the sum of its proper divisors (45169409776).

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

44871135104 is a wasteful number, since it uses less digits than its factorization.

44871135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3959 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 44871135104 in words is "forty-four billion, eight hundred seventy-one million, one hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 193 386 571 772 1142 1544 2284 3088 3181 4568 6176 6362 9136 12352 12724 18272 24704 25448 36544 50896 73088 101792 110203 203584 220406 407168 440812 613933 881624 1227866 1763248 1816351 2455732 3526496 3632702 4911464 7052992 7265404 9822928 14105984 14530808 19645856 29061616 39291712 58123232 78583424 116246464 232492928 350555743 701111486 1402222972 2804445944 5608891888 11217783776 22435567552 44871135104