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116693461200 = 24352312472153
BaseRepresentation
bin110110010101101111…
…0001110100011010000
3102011012120100000222110
41230223132032203100
53402442011224300
6125335213505320
711300526024411
oct1545336164320
9364176300873
10116693461200
1145542464628
121a7484a2240
13b009155a34
145910147808
15307ea60550
hex1b2b78e8d0

116693461200 has 360 divisors, whose sum is σ = 394656776064. Its totient is φ = 29460019200.

The previous prime is 116693461133. The next prime is 116693461201. The reversal of 116693461200 is 2164396611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116693461201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 54199324 + ... + 54201476.

Almost surely, 2116693461200 is an apocalyptic number.

116693461200 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 116693461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197328388032).

116693461200 is an abundant number, since it is smaller than the sum of its proper divisors (277963314864).

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

116693461200 is a wasteful number, since it uses less digits than its factorization.

116693461200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 116693461200 in words is "one hundred sixteen billion, six hundred ninety-three million, four hundred sixty-one thousand, two hundred".