Base | Representation |
---|---|
bin | 11111000101011000011100… |
… | …010001000100010001000000 |
3 | 122221001021120000011002120200 |
4 | 133011120130101010101000 |
5 | 120404321103004031043 |
6 | 1202431213331005200 |
7 | 40536630324420510 |
oct | 3705303421042100 |
9 | 587037500132520 |
10 | 136709283267648 |
11 | 3a6180994456a3 |
12 | 133bb212439800 |
13 | 5b38826421ca0 |
14 | 25a8a9c163840 |
15 | 10c11c75bb7d3 |
hex | 7c561c444440 |
136709283267648 has 672 divisors, whose sum is σ = 491043351542016. Its totient is φ = 35404406194176.
The previous prime is 136709283267643. The next prime is 136709283267659. The reversal of 136709283267648 is 846762382907631.
136709283267648 is a `hidden beast` number, since 1 + 367 + 0 + 92 + 83 + 2 + 67 + 6 + 48 = 666.
It is a tau number, because it is divible by the number of its divisors (672).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is not an unprimeable number, because it can be changed into a prime (136709283267643) by changing a digit.
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 95 ways as a sum of consecutive naturals, for example, 868506840 + ... + 868664232.
It is an arithmetic number, because the mean of its divisors is an integer number (730719273128).
Almost surely, 2136709283267648 is an apocalyptic number.
136709283267648 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 136709283267648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245521675771008).
136709283267648 is an abundant number, since it is smaller than the sum of its proper divisors (354334068274368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136709283267648 is a wasteful number, since it uses less digits than its factorization.
136709283267648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 157731 (or 157718 counting only the distinct ones).
The product of its (nonzero) digits is 877879296, while the sum is 72.
The spelling of 136709283267648 in words is "one hundred thirty-six trillion, seven hundred nine billion, two hundred eighty-three million, two hundred sixty-seven thousand, six hundred forty-eight".
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