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136306343808 = 273617292963
BaseRepresentation
bin111111011110001111…
…1011011111110000000
3111000211102102201000000
41332330133123332000
54213123411000213
6142341314000000
712563540543235
oct1767437337600
9430742381000
10136306343808
1152897417618
1222500876000
13cb1357ca0b
146850c5d78c
15382b80ec73
hex1fbc7dbf80

136306343808 has 448 divisors, whose sum is σ = 446100080400. Its totient is φ = 41274261504.

The previous prime is 136306343807. The next prime is 136306343813. The reversal of 136306343808 is 808343603631.

136306343808 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 0 + 634 + 3 + 8 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136306343807) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 46001335 + ... + 46004297.

Almost surely, 2136306343808 is an apocalyptic number.

136306343808 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 136306343808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223050040200).

136306343808 is an abundant number, since it is smaller than the sum of its proper divisors (309793736592).

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

136306343808 is an equidigital number, since it uses as much as digits as its factorization.

136306343808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 136306343808 in words is "one hundred thirty-six billion, three hundred six million, three hundred forty-three thousand, eight hundred eight".