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114889723488 = 25381983347
BaseRepresentation
bin110101011111111110…
…1100000111001100000
3101222112212021200000000
41222333331200321200
53340243232122423
6124440221300000
711205034352031
oct1527775407140
9358485250000
10114889723488
11447a7287801
121a324404600
13aaac557607
1457bc77aa88
152ec6519843
hex1abff60e60

114889723488 has 432 divisors, whose sum is σ = 362466861120. Its totient is φ = 35740548864.

The previous prime is 114889723471. The next prime is 114889723589. The reversal of 114889723488 is 884327988411.

114889723488 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 89 + 72 + 3 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1148897234882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 331094131 + ... + 331094477.

It is an arithmetic number, because the mean of its divisors is an integer number (839043660).

Almost surely, 2114889723488 is an apocalyptic number.

114889723488 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 114889723488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181233430560).

114889723488 is an abundant number, since it is smaller than the sum of its proper divisors (247577137632).

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

114889723488 is an frugal number, since it uses more digits than its factorization.

114889723488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 454 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 63.

The spelling of 114889723488 in words is "one hundred fourteen billion, eight hundred eighty-nine million, seven hundred twenty-three thousand, four hundred eighty-eight".