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116468387280 = 243257197316661
BaseRepresentation
bin110110001111000001…
…1101000110111010000
3102010121212211002121100
41230132003220313100
53402011401343110
6125301013424400
711262123646260
oct1543603506720
9363555732540
10116468387280
1145437406223
121a6a503b100
13aca162c9bb
1458cc2b97a0
153069e01bc0
hex1b1e0e8dd0

116468387280 has 480 divisors, whose sum is σ = 477018397440. Its totient is φ = 24873246720.

The previous prime is 116468387279. The next prime is 116468387303. The reversal of 116468387280 is 82783864611.

116468387280 is a `hidden beast` number, since 1 + 1 + 6 + 468 + 38 + 72 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6982150 + ... + 6998810.

It is an arithmetic number, because the mean of its divisors is an integer number (993788328).

Almost surely, 2116468387280 is an apocalyptic number.

116468387280 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 116468387280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238509198720).

116468387280 is an abundant number, since it is smaller than the sum of its proper divisors (360550010160).

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

116468387280 is a wasteful number, since it uses less digits than its factorization.

116468387280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16779 (or 16770 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 116468387280 in words is "one hundred sixteen billion, four hundred sixty-eight million, three hundred eighty-seven thousand, two hundred eighty".