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44955986944 = 2101119239133
BaseRepresentation
bin101001110111100101…
…011110110000000000
311022001001121202111111
4221313211132300000
51214032213040234
632352534453104
73151023404221
oct516745366000
9138031552444
1044955986944
111807a534420
128867804194
134315a70b0b
142266893248
151281b47664
hexa7795ec00

44955986944 has 176 divisors, whose sum is σ = 107696436480. Its totient is φ = 18515312640.

The previous prime is 44955986941. The next prime is 44955986953. The reversal of 44955986944 is 44968955944.

It is a tau number, because it is divible by the number of its divisors (176).

It is a self number, because there is not a number n which added to its sum of digits gives 44955986944.

It is not an unprimeable number, because it can be changed into a prime (44955986941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4917802 + ... + 4926934.

Almost surely, 244955986944 is an apocalyptic number.

44955986944 is a gapful number since it is divisible by the number (44) 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 44955986944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53848218240).

44955986944 is an abundant number, since it is smaller than the sum of its proper divisors (62740449536).

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

44955986944 is a wasteful number, since it uses less digits than its factorization.

44955986944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9206 (or 9188 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 67.

The spelling of 44955986944 in words is "forty-four billion, nine hundred fifty-five million, nine hundred eighty-six thousand, nine hundred forty-four".