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116205373440 = 211345132829
BaseRepresentation
bin110110000111001100…
…0010100100000000000
3102002221112220121110000
41230032120110200000
53400442033422230
6125214540240000
711252451243132
oct1541630244000
9362845817400
10116205373440
11453119a4012
121a630b40000
13ac5bcb1a00
1458a53b3052
153051c9bb60
hex1b0e614800

116205373440 has 720 divisors, whose sum is σ = 451564413300. Its totient is φ = 28569894912.

The previous prime is 116205373429. The next prime is 116205373469. The reversal of 116205373440 is 44373502611.

116205373440 is a `hidden beast` number, since 1 + 1 + 6 + 205 + 3 + 7 + 3 + 440 = 666.

116205373440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 14561731584 + 101643641856 = 120672^2 + 318816^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116205373395 and 116205373404.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 140174946 + ... + 140175774.

Almost surely, 2116205373440 is an apocalyptic number.

116205373440 is a gapful number since it is divisible by the number (10) 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 116205373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225782206650).

116205373440 is an abundant number, since it is smaller than the sum of its proper divisors (335359039860).

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

116205373440 is an equidigital number, since it uses as much as digits as its factorization.

116205373440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 116205373440 in words is "one hundred sixteen billion, two hundred five million, three hundred seventy-three thousand, four hundred forty".