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47430320112 = 24327148931601
BaseRepresentation
bin101100001011000100…
…010011111111110000
311112102111111220111200
4230023010103333300
51234114130220422
633442244211200
73266240032440
oct541304237760
9145374456450
1047430320112
111912a1a756a
129238399b00
13461b584696
14241d342120
151378ea32ac
hexb0b113ff0

47430320112 has 120 divisors (see below), whose sum is σ = 151808423520. Its totient is φ = 13541990400.

The previous prime is 47430320111. The next prime is 47430320173. The reversal of 47430320112 is 21102303474.

It is a happy number.

47430320112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47430320111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1485112 + ... + 1516712.

It is an arithmetic number, because the mean of its divisors is an integer number (1265070196).

Almost surely, 247430320112 is an apocalyptic number.

47430320112 is a gapful number since it is divisible by the number (42) 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 47430320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75904211760).

47430320112 is an abundant number, since it is smaller than the sum of its proper divisors (104378103408).

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

47430320112 is a wasteful number, since it uses less digits than its factorization.

47430320112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33111 (or 33102 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 47430320112 its reverse (21102303474), we get a palindrome (68532623586).

The spelling of 47430320112 in words is "forty-seven billion, four hundred thirty million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1489 2978 4467 5956 8934 10423 11912 13401 17868 20846 23824 26802 31269 31601 35736 41692 53604 62538 63202 71472 83384 93807 94803 107208 125076 126404 166768 187614 189606 214416 221207 250152 252808 284409 375228 379212 442414 500304 505616 568818 663621 750456 758424 884828 1137636 1327242 1500912 1516848 1769656 1990863 2275272 2654484 3539312 3981726 4550544 5308968 7963452 10617936 15926904 31853808 47053889 94107778 141161667 188215556 282323334 329377223 376431112 423485001 564646668 658754446 752862224 846970002 988131669 1129293336 1317508892 1693940004 1976263338 2258586672 2635017784 2964395007 3387880008 3952526676 5270035568 5928790014 6775760016 7905053352 11857580028 15810106704 23715160056 47430320112