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44309734848 = 2632112368501
BaseRepresentation
bin101001010001000100…
…001110010111000000
311020101000120202021200
4221101010032113000
51211221243003343
632204451221200
73126015350301
oct512104162700
9136330522250
1044309734848
1117878765685
1287072a7800
134241bcca22
142204b0a7a8
1512450404d3
hexa5110e5c0

44309734848 has 84 divisors (see below), whose sum is σ = 127120805448. Its totient is φ = 14756544000.

The previous prime is 44309734831. The next prime is 44309734867. The reversal of 44309734848 is 84843790344.

44309734848 is a `hidden beast` number, since 44 + 30 + 97 + 3 + 484 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 44309734794 and 44309734803.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 612598 + ... + 681098.

It is an arithmetic number, because the mean of its divisors is an integer number (1513342922).

Almost surely, 244309734848 is an apocalyptic number.

44309734848 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 44309734848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63560402724).

44309734848 is an abundant number, since it is smaller than the sum of its proper divisors (82811070600).

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

44309734848 is a wasteful number, since it uses less digits than its factorization.

44309734848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69642 (or 69629 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 44309734848 in words is "forty-four billion, three hundred nine million, seven hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1123 2246 3369 4492 6738 8984 10107 13476 17968 20214 26952 35936 40428 53904 68501 71872 80856 107808 137002 161712 205503 215616 274004 323424 411006 548008 616509 646848 822012 1096016 1233018 1644024 2192032 2466036 3288048 4384064 4932072 6576096 9864144 13152192 19728288 39456576 76926623 153853246 230779869 307706492 461559738 615412984 692339607 923119476 1230825968 1384679214 1846238952 2461651936 2769358428 3692477904 4923303872 5538716856 7384955808 11077433712 14769911616 22154867424 44309734848