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44425087488 = 293287710993
BaseRepresentation
bin101001010111111100…
…010000101000000000
311020200001122021100200
4221113330100220000
51211440310244423
632224131445200
73131616004335
oct512774205000
9136601567320
1044425087488
1117927892841
128739a56800
13425ca8a522
14221617698c
151250228d43
hexa57f10a00

44425087488 has 120 divisors (see below), whose sum is σ = 128371682868. Its totient is φ = 14790131712.

The previous prime is 44425087477. The next prime is 44425087507. The reversal of 44425087488 is 88478052444.

44425087488 is a `hidden beast` number, since 4 + 442 + 50 + 8 + 74 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44423149824 + 1937664 = 210768^2 + 1392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4035720 + ... + 4046712.

Almost surely, 244425087488 is an apocalyptic number.

44425087488 is a gapful number since it is divisible by the number (48) 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 44425087488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64185841434).

44425087488 is an abundant number, since it is smaller than the sum of its proper divisors (83946595380).

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

44425087488 is a wasteful number, since it uses less digits than its factorization.

44425087488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11894 (or 11875 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 54.

The spelling of 44425087488 in words is "forty-four billion, four hundred twenty-five million, eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 877 1152 1536 1754 2304 2631 3508 4608 5262 7016 7893 10524 10993 14032 15786 21048 21986 28064 31572 32979 42096 43972 56128 63144 65958 84192 87944 98937 112256 126288 131916 168384 175888 197874 224512 252576 263832 336768 351776 395748 449024 505152 527664 673536 703552 791496 1010304 1055328 1347072 1407104 1582992 2020608 2110656 2814208 3165984 4041216 4221312 5628416 6331968 8442624 9640861 12663936 16885248 19281722 25327872 28922583 38563444 50655744 57845166 77126888 86767749 115690332 154253776 173535498 231380664 308507552 347070996 462761328 617015104 694141992 925522656 1234030208 1388283984 1851045312 2468060416 2776567968 3702090624 4936120832 5553135936 7404181248 11106271872 14808362496 22212543744 44425087488