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116363923200 = 28325271911511
BaseRepresentation
bin110110001011111010…
…1001000111100000000
3102010100121020202211100
41230113311020330000
53401303131020300
6125242402414400
711256415012260
oct1542765107400
9363317222740
10116363923200
1145393445878
121a676061400
13ac85ab5335
1458bc4857a0
153060b69700
hex1b17d48f00

116363923200 has 648 divisors, whose sum is σ = 478265389056. Its totient is φ = 26440704000.

The previous prime is 116363923183. The next prime is 116363923201. The reversal of 116363923200 is 2329363611.

It is a happy number.

116363923200 is a `hidden beast` number, since 1 + 1 + 6 + 363 + 92 + 3 + 200 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116363923201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77010445 + ... + 77011955.

It is an arithmetic number, because the mean of its divisors is an integer number (738063872).

Almost surely, 2116363923200 is an apocalyptic number.

116363923200 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 116363923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239132694528).

116363923200 is an abundant number, since it is smaller than the sum of its proper divisors (361901465856).

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

116363923200 is a wasteful number, since it uses less digits than its factorization.

116363923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 116363923200 in words is "one hundred sixteen billion, three hundred sixty-three million, nine hundred twenty-three thousand, two hundred".