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44050032768 = 273723712507
BaseRepresentation
bin101001000001100101…
…100010100010000000
311012200220220112000010
4221001211202202000
51210203302022033
632123013024520
73116413046340
oct510145424200
9135626815003
1044050032768
1117755105665
128654325140
134200171261
1421bc426d20
15122c341863
hexa41962880

44050032768 has 128 divisors (see below), whose sum is σ = 139537566720. Its totient is φ = 12038501376.

The previous prime is 44050032757. The next prime is 44050032833. The reversal of 44050032768 is 86723005044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294430 + ... + 418077.

It is an arithmetic number, because the mean of its divisors is an integer number (1090137240).

Almost surely, 244050032768 is an apocalyptic number.

44050032768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

44050032768 is an abundant number, since it is smaller than the sum of its proper divisors (95487533952).

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

44050032768 is a wasteful number, since it uses less digits than its factorization.

44050032768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712554 (or 712542 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 44050032768 in words is "forty-four billion, fifty million, thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 276 322 336 368 384 448 483 552 644 672 736 896 966 1104 1288 1344 1472 1932 2208 2576 2688 2944 3864 4416 5152 7728 8832 10304 15456 20608 30912 61824 712507 1425014 2137521 2850028 4275042 4987549 5700056 8550084 9975098 11400112 14962647 16387661 17100168 19950196 22800224 29925294 32775322 34200336 39900392 45600448 49162983 59850588 65550644 68400672 79800784 91200896 98325966 114713627 119701176 131101288 136801344 159601568 196651932 229427254 239402352 262202576 273602688 319203136 344140881 393303864 458854508 478804704 524405152 638406272 688281762 786607728 917709016 957609408 1048810304 1376563524 1573215456 1835418032 1915218816 2097620608 2753127048 3146430912 3670836064 5506254096 6292861824 7341672128 11012508192 14683344256 22025016384 44050032768