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136659483072 = 263672947307
BaseRepresentation
bin111111101000110001…
…0100011100111000000
3111001202000221001000000
41333101202203213000
54214334311424242
6142440331000000
712605356303620
oct1772142434700
9431660831000
10136659483072
1152a58796352
122259ab99000
13cb6b794a68
146885b06880
15384c818a4c
hex1fd18a39c0

136659483072 has 784 divisors, whose sum is σ = 492523637760. Its totient is φ = 36776871936.

The previous prime is 136659482959. The next prime is 136659483097. The reversal of 136659483072 is 270384956631.

136659483072 is a `hidden beast` number, since 1 + 36 + 65 + 9 + 483 + 0 + 72 = 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 111 ways as a sum of consecutive naturals, for example, 445144743 + ... + 445145049.

It is a 1-persistent number, because it is pandigital, but 2⋅136659483072 = 273318966144 is not.

Almost surely, 2136659483072 is an apocalyptic number.

136659483072 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 136659483072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246261818880).

136659483072 is an abundant number, since it is smaller than the sum of its proper divisors (355864154688).

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

136659483072 is an equidigital number, since it uses as much as digits as its factorization.

136659483072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 136659483072 in words is "one hundred thirty-six billion, six hundred fifty-nine million, four hundred eighty-three thousand, seventy-two".