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114184669950 = 233521331415119
BaseRepresentation
bin110101001010111101…
…1111100101011111110
3101220201201121020101000
41222111323330223332
53332322233414300
6124242233431130
711151413452251
oct1522573745376
9356651536330
10114184669950
11444752a662a
121a16826b4a6
13a9c9468c80
145752c89098
152e84699c00
hex1a95efcafe

114184669950 has 384 divisors, whose sum is σ = 358377062400. Its totient is φ = 26531712000.

The previous prime is 114184669939. The next prime is 114184669969. The reversal of 114184669950 is 59966481411.

114184669950 is a `hidden beast` number, since 1 + 1 + 41 + 8 + 466 + 99 + 50 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22303491 + ... + 22308609.

It is an arithmetic number, because the mean of its divisors is an integer number (933273600).

Almost surely, 2114184669950 is an apocalyptic number.

114184669950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114184669950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179188531200).

114184669950 is an abundant number, since it is smaller than the sum of its proper divisors (244192392450).

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

114184669950 is a wasteful number, since it uses less digits than its factorization.

114184669950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5225 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 114184669950 in words is "one hundred fourteen billion, one hundred eighty-four million, six hundred sixty-nine thousand, nine hundred fifty".