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44407127168 = 271916772683
BaseRepresentation
bin101001010110110111…
…101111110010000000
311020121210211210102122
4221112313233302000
51211421211032133
632222250503412
73131310232025
oct512667576200
9136553753378
1044407127168
11179187359a8
128733a34b68
13425913c611
142213a1d54c
15124d87c498
hexa56defc80

44407127168 has 64 divisors (see below), whose sum is σ = 89095057920. Its totient is φ = 22046469120.

The previous prime is 44407127137. The next prime is 44407127189. The reversal of 44407127168 is 86172170444.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16549955 + ... + 16552637.

It is an arithmetic number, because the mean of its divisors is an integer number (1392110280).

Almost surely, 244407127168 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 44407127168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44547528960).

44407127168 is an abundant number, since it is smaller than the sum of its proper divisors (44687930752).

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

44407127168 is a wasteful number, since it uses less digits than its factorization.

44407127168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 44.

The spelling of 44407127168 in words is "forty-four billion, four hundred seven million, one hundred twenty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 191 382 677 764 1354 1528 2683 2708 3056 5366 5416 6112 10732 10832 12224 21464 21664 24448 42928 43328 85856 86656 129307 171712 258614 343424 512453 517228 1024906 1034456 1816391 2049812 2068912 3632782 4099624 4137824 7265564 8199248 8275648 14531128 16398496 16551296 29062256 32796992 58124512 65593984 116249024 232498048 346930681 693861362 1387722724 2775445448 5550890896 11101781792 22203563584 44407127168