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11407082108832 = 253247842721787
BaseRepresentation
bin1010010111111110101100…
…0100111011011110100000
31111101111200011110110020100
42211333223010323132200
52443343201004440312
640132201405542400
72255064062052054
oct245775304733640
944344604413210
1011407082108832
1136a8797517513
121342928874a00
136498b6086527
142b616a149c64
1514bacebda5dc
hexa5feb13b7a0

11407082108832 has 72 divisors (see below), whose sum is σ = 33129078929856. Its totient is φ = 3721459406976.

The previous prime is 11407082108831. The next prime is 11407082108869. The reversal of 11407082108832 is 23880128070411.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (11407082108831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 421347358 + ... + 421374429.

It is an arithmetic number, because the mean of its divisors is an integer number (460126096248).

Almost surely, 211407082108832 is an apocalyptic number.

11407082108832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11407082108832 is an abundant number, since it is smaller than the sum of its proper divisors (21721996821024).

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

11407082108832 is a wasteful number, since it uses less digits than its factorization.

11407082108832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842721850 (or 842721839 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 11407082108832 in words is "eleven trillion, four hundred seven billion, eighty-two million, one hundred eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 13536 842721787 1685443574 2528165361 3370887148 5056330722 6741774296 7584496083 10112661444 13483548592 15168992166 20225322888 26967097184 30337984332 39607923989 40450645776 60675968664 79215847978 80901291552 118823771967 121351937328 158431695956 237647543934 242703874656 316863391912 356471315901 475295087868 633726783824 712942631802 950590175736 1267453567648 1425885263604 1901180351472 2851770527208 3802360702944 5703541054416 11407082108832