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116078284800 = 21232521731239
BaseRepresentation
bin110110000011011001…
…1100001000000000000
3102002121200202211121100
41230012303201000000
53400212020103200
6125154200254400
711246346066252
oct1540663410000
9362550684540
10116078284800
1145257190485
121a5b6471400
13ac3b87542a
14589256dcd2
153045a45d00
hex1b06ce1000

116078284800 has 936 divisors, whose sum is σ = 456326507520. Its totient is φ = 28075622400.

The previous prime is 116078284789. The next prime is 116078284811. The reversal of 116078284800 is 8482870611.

116078284800 is a `hidden beast` number, since 1 + 160 + 7 + 8 + 2 + 8 + 480 + 0 = 666.

116078284800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (116078284789) and next prime (116078284811).

It is a super-2 number, since 2×1160782848002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 485683081 + ... + 485683319.

It is an arithmetic number, because the mean of its divisors is an integer number (487528320).

Almost surely, 2116078284800 is an apocalyptic number.

116078284800 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 116078284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228163253760).

116078284800 is an abundant number, since it is smaller than the sum of its proper divisors (340248222720).

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

116078284800 is a wasteful number, since it uses less digits than its factorization.

116078284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 297 counting only the distinct ones).

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

The spelling of 116078284800 in words is "one hundred sixteen billion, seventy-eight million, two hundred eighty-four thousand, eight hundred".