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136669680000 = 273454723131
BaseRepresentation
bin111111101001000100…
…1011101000110000000
3111001202202010002120000
41333102021131012000
54214344414230000
6142441333320000
712605542053360
oct1772211350600
9431682102500
10136669680000
1152a63520467
12225a2496000
13cb70925149
1468871dc9a0
15384d680000
hex1fd225d180

136669680000 has 1600 divisors, whose sum is σ = 610733502720. Its totient is φ = 29652480000.

The previous prime is 136669679953. The next prime is 136669680013. The reversal of 136669680000 is 86966631.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 1043279935 + ... + 1043280065.

Almost surely, 2136669680000 is an apocalyptic number.

136669680000 is a gapful number since it is divisible by the number (10) 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 136669680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305366751360).

136669680000 is an abundant number, since it is smaller than the sum of its proper divisors (474063822720).

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

136669680000 is an equidigital number, since it uses as much as digits as its factorization.

136669680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 136669680000 in words is "one hundred thirty-six billion, six hundred sixty-nine million, six hundred eighty thousand".