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116764236288 = 2933761131151
BaseRepresentation
bin110110010111110110…
…0001101101000000000
3102011101111111210011000
41230233230031220000
53403113121030123
6125350222452000
711302345426650
oct1545754155000
9364344453130
10116764236288
1145579404a37
121a768134000
13b01aa0629b
1459196cc360
153085d90b43
hex1b2fb0da00

116764236288 has 640 divisors, whose sum is σ = 407225364480. Its totient is φ = 32348160000.

The previous prime is 116764236287. The next prime is 116764236289. The reversal of 116764236288 is 882632467611.

It is a happy number.

116764236288 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 6 + 4 + 2 + 3 + 628 + 8 = 666.

116764236288 is digitally balanced in base 7, 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 (116764236287) and next prime (116764236289).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116764236287) 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 63 ways as a sum of consecutive naturals, for example, 773273013 + ... + 773273163.

It is an arithmetic number, because the mean of its divisors is an integer number (636289632).

Almost surely, 2116764236288 is an apocalyptic number.

116764236288 is a gapful number since it is divisible by the number (18) 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 116764236288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203612682240).

116764236288 is an abundant number, since it is smaller than the sum of its proper divisors (290461128192).

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

116764236288 is a wasteful number, since it uses less digits than its factorization.

116764236288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 355 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 116764236288 in words is "one hundred sixteen billion, seven hundred sixty-four million, two hundred thirty-six thousand, two hundred eighty-eight".