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114678888912 = 243573113761
BaseRepresentation
bin110101011001101100…
…1001111100111010000
3101222000011120011100000
41222303121033213100
53334330243421122
6124403250330000
711166564321000
oct1526331174720
9358004504300
10114678888912
11446a9274655
121a285889900
13aa77978923
14579c778000
152eb2c700ac
hex1ab364f9d0

114678888912 has 480 divisors, whose sum is σ = 392087404800. Its totient is φ = 32432762880.

The previous prime is 114678888901. The next prime is 114678888917. The reversal of 114678888912 is 219888876411.

114678888912 is a `hidden beast` number, since 1 + 1 + 467 + 8 + 8 + 88 + 91 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a self number, because there is not a number n which added to its sum of digits gives 114678888912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114678888917) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150694612 + ... + 150695372.

It is an arithmetic number, because the mean of its divisors is an integer number (816848760).

Almost surely, 2114678888912 is an apocalyptic number.

114678888912 is a gapful number since it is divisible by the number (12) 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 114678888912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196043702400).

114678888912 is an abundant number, since it is smaller than the sum of its proper divisors (277408515888).

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

114678888912 is an equidigital number, since it uses as much as digits as its factorization.

114678888912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 886 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 63.

The spelling of 114678888912 in words is "one hundred fourteen billion, six hundred seventy-eight million, eight hundred eighty-eight thousand, nine hundred twelve".