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44459591072 = 2513757141181
BaseRepresentation
bin101001011001111111…
…111000010110100000
311020202110120020101012
4221121333320112200
51212023123403242
632231403200052
73132515201021
oct513177702640
9136673506335
1044459591072
11179453098a6
128749516028
134266c7b350
14221a998c48
151253292282
hexa59ff85a0

44459591072 has 48 divisors (see below), whose sum is σ = 94388073192. Its totient is φ = 20492559360.

The previous prime is 44459591039. The next prime is 44459591081. The reversal of 44459591072 is 27019595444.

It can be written as a sum of positive squares in 4 ways, for example, as 38823185296 + 5636405776 = 197036^2 + 75076^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 44459591072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244322 + ... + 385502.

Almost surely, 244459591072 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 44459591072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47194036596).

44459591072 is an abundant number, since it is smaller than the sum of its proper divisors (49928482120).

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

44459591072 is a wasteful number, since it uses less digits than its factorization.

44459591072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141961 (or 141953 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 44459591072 in words is "forty-four billion, four hundred fifty-nine million, five hundred ninety-one thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 757 1514 3028 6056 9841 12112 19682 24224 39364 78728 141181 157456 282362 314912 564724 1129448 1835353 2258896 3670706 4517792 7341412 14682824 29365648 58731296 106874017 213748034 427496068 854992136 1389362221 1709984272 2778724442 3419968544 5557448884 11114897768 22229795536 44459591072