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12373048720032 = 2537211213171931167
BaseRepresentation
bin1011010000001101001100…
…1011000111101010100000
31121210212000001001121001220
42310003103023013222200
53110210000433020112
642152033342455040
72414631452554200
oct264032313075240
947725001047056
1012373048720032
113a4042048a700
121479b90b94480
136b9a09477c90
1430ac045c2400
15166cb86a998c
hexb40d32c7aa0

12373048720032 has 3456 divisors, whose sum is σ = 51762689556480. Its totient is φ = 2544456499200.

The previous prime is 12373048720009. The next prime is 12373048720061. The reversal of 12373048720032 is 23002784037321.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 575 ways as a sum of consecutive naturals, for example, 74090112013 + ... + 74090112179.

It is an arithmetic number, because the mean of its divisors is an integer number (14977630080).

Almost surely, 212373048720032 is an apocalyptic number.

12373048720032 is a gapful number since it is divisible by the number (12) 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 12373048720032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25881344778240).

12373048720032 is an abundant number, since it is smaller than the sum of its proper divisors (39389640836448).

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

12373048720032 is a wasteful number, since it uses less digits than its factorization.

12373048720032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 12373048720032 in words is "twelve trillion, three hundred seventy-three billion, forty-eight million, seven hundred twenty thousand, thirty-two".