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47505433712 = 24111079532647
BaseRepresentation
bin101100001111100010…
…110110010001110000
311112121201212001222212
4230033202312101300
51234242342334322
633453530151252
73301141344512
oct541742662160
9145551761885
1047505433712
1119168640520
129259582528
134630cc38b9
1424292d5bb2
15138088e0e2
hexb0f8b6470

47505433712 has 80 divisors (see below), whose sum is σ = 101492289792. Its totient is φ = 21361052160.

The previous prime is 47505433693. The next prime is 47505433727. The reversal of 47505433712 is 21733450574.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 47505433712.

It is a congruent number.

It is an unprimeable number.

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, 17945573 + ... + 17948219.

Almost surely, 247505433712 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 47505433712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50746144896).

47505433712 is an abundant number, since it is smaller than the sum of its proper divisors (53986856080).

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

47505433712 is a wasteful number, since it uses less digits than its factorization.

47505433712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3726 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 41.

The spelling of 47505433712 in words is "forty-seven billion, five hundred five million, four hundred thirty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 107 176 214 428 856 953 1177 1712 1906 2354 2647 3812 4708 5294 7624 9416 10483 10588 15248 18832 20966 21176 29117 41932 42352 58234 83864 101971 116468 167728 203942 232936 283229 407884 465872 566458 815768 1121681 1132916 1631536 2243362 2265832 2522591 3115519 4486724 4531664 5045182 6231038 8973448 10090364 12462076 17946896 20180728 24924152 27748501 40361456 49848304 55497002 110994004 221988008 269917237 443976016 539834474 1079668948 2159337896 2969089607 4318675792 5938179214 11876358428 23752716856 47505433712