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136299819744 = 2535113743067
BaseRepresentation
bin111111011110000011…
…0100011001011100000
3111000210222011020200000
41332330012203023200
54213120223212434
6142340522100000
712563431231524
oct1767406431340
9430728136600
10136299819744
1152893770a30
12224ba64a600
13cb1210731a
146850041d84
15382ae71b99
hex1fbc1a32e0

136299819744 has 288 divisors, whose sum is σ = 450361731456. Its totient is φ = 40185745920.

The previous prime is 136299819743. The next prime is 136299819767. The reversal of 136299819744 is 447918992631.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136299819743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3143299 + ... + 3186365.

It is an arithmetic number, because the mean of its divisors is an integer number (1563756012).

Almost surely, 2136299819744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136299819744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225180865728).

136299819744 is an abundant number, since it is smaller than the sum of its proper divisors (314061911712).

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

136299819744 is a wasteful number, since it uses less digits than its factorization.

136299819744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43140 (or 43120 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 136299819744 in words is "one hundred thirty-six billion, two hundred ninety-nine million, eight hundred nineteen thousand, seven hundred forty-four".