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44292753376 = 2531434722093
BaseRepresentation
bin101001010000000011…
…011100011111100000
311020022211122000002021
4221100003130133200
51211202421102001
632203043231224
73125421122524
oct512003343740
9136284560067
1044292753376
111786a117203
128701678514
13423b535511
142202769d84
1512437d8ba1
hexa500dc7e0

44292753376 has 96 divisors (see below), whose sum is σ = 94071656448. Its totient is φ = 20487237120.

The previous prime is 44292753361. The next prime is 44292753409. The reversal of 44292753376 is 67335729244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1993786 + ... + 2015878.

It is an arithmetic number, because the mean of its divisors is an integer number (979913088).

Almost surely, 244292753376 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 44292753376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47035828224).

44292753376 is an abundant number, since it is smaller than the sum of its proper divisors (49778903072).

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

44292753376 is a wasteful number, since it uses less digits than its factorization.

44292753376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22224 (or 22216 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 52.

The spelling of 44292753376 in words is "forty-four billion, two hundred ninety-two million, seven hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 43 47 62 86 94 124 172 188 248 344 376 496 688 752 992 1333 1376 1457 1504 2021 2666 2914 4042 5332 5828 8084 10664 11656 16168 21328 22093 23312 32336 42656 44186 46624 62651 64672 88372 125302 176744 250604 353488 501208 684883 706976 949999 1002416 1038371 1369766 1899998 2004832 2076742 2739532 3799996 4153484 5479064 7599992 8306968 10958128 15199984 16613936 21916256 29449969 30399968 32189501 33227872 44649953 58899938 64379002 89299906 117799876 128758004 178599812 235599752 257516008 357199624 471199504 515032016 714399248 942399008 1030064032 1384148543 1428798496 2768297086 5536594172 11073188344 22146376688 44292753376