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114863366016 = 2732723619303
BaseRepresentation
bin110101011111001100…
…0111101111110000000
3101222111000200120100100
41222332120331332000
53340220010203031
6124433440322400
711204264334060
oct1527630757600
9358430616310
10114863366016
1144793414a73
121a317613400
13aaa6c59589
1457b90793a0
152ec405ede6
hex1abe63df80

114863366016 has 192 divisors, whose sum is σ = 394174609920. Its totient is φ = 31391179776.

The previous prime is 114863366003. The next prime is 114863366027. The reversal of 114863366016 is 610663368411.

114863366016 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 6 + 3 + 36 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124180 + ... + 495123.

It is an arithmetic number, because the mean of its divisors is an integer number (2052992760).

Almost surely, 2114863366016 is an apocalyptic number.

114863366016 is a gapful number since it is divisible by the number (16) 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 114863366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197087304960).

114863366016 is an abundant number, since it is smaller than the sum of its proper divisors (279311243904).

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

114863366016 is a wasteful number, since it uses less digits than its factorization.

114863366016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619353 (or 619338 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 114863366016 in words is "one hundred fourteen billion, eight hundred sixty-three million, three hundred sixty-six thousand, sixteen".