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44973008416 = 2572326333191
BaseRepresentation
bin101001111000100110…
…011010011000100000
311022002020122112120101
4221320212122120200
51214101042232131
632354343352144
73151321156420
oct517046323040
9138066575511
1044973008416
11180890aa956
128871452654
1343194505ab
142268c44480
1512833aac61
hexa7899a620

44973008416 has 96 divisors (see below), whose sum is σ = 105993474048. Its totient is φ = 18365487360.

The previous prime is 44973008371. The next prime is 44973008441. The reversal of 44973008416 is 61480037944.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 1338381 + ... + 1371571.

It is an arithmetic number, because the mean of its divisors is an integer number (1104098688).

Almost surely, 244973008416 is an apocalyptic number.

44973008416 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44973008416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52996737024).

44973008416 is an abundant number, since it is smaller than the sum of its proper divisors (61020465632).

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

44973008416 is a wasteful number, since it uses less digits than its factorization.

44973008416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33494 (or 33486 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 44973008416 in words is "forty-four billion, nine hundred seventy-three million, eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 263 322 368 526 644 736 1052 1288 1841 2104 2576 3682 4208 5152 6049 7364 8416 12098 14728 24196 29456 33191 42343 48392 58912 66382 84686 96784 132764 169372 193568 232337 265528 338744 464674 531056 677488 763393 929348 1062112 1354976 1526786 1858696 3053572 3717392 5343751 6107144 7434784 8729233 10687502 12214288 17458466 21375004 24428576 34916932 42750008 61104631 69833864 85500016 122209262 139667728 171000032 200772359 244418524 279335456 401544718 488837048 803089436 977674096 1405406513 1606178872 1955348192 2810813026 3212357744 5621626052 6424715488 11243252104 22486504208 44973008416