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44159853504 = 2631319249009
BaseRepresentation
bin101001001000001000…
…011110001111000000
311012222120112222201210
4221020020132033000
51210414410303004
632141534530120
73122215363404
oct511010361700
9135876488653
1044159853504
11178010a45a8
128685066940
134219b42b40
1421ccc53104
151236cd6089
hexa4821e3c0

44159853504 has 168 divisors, whose sum is σ = 132801024720. Its totient is φ = 12872245248.

The previous prime is 44159853469. The next prime is 44159853509. The reversal of 44159853504 is 40535895144.

It is a super-2 number, since 2×441598535042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44159853509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 876552 + ... + 925560.

It is an arithmetic number, because the mean of its divisors is an integer number (790482290).

Almost surely, 244159853504 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 44159853504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66400512360).

44159853504 is an abundant number, since it is smaller than the sum of its proper divisors (88641171216).

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

44159853504 is a wasteful number, since it uses less digits than its factorization.

44159853504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49075 (or 49046 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 44159853504 in words is "forty-four billion, one hundred fifty-nine million, eight hundred fifty-three thousand, five hundred four".