| Base | Representation |
|---|---|
| bin | 11110100110011110011010… |
| … | …001010010100100101010000 |
| 3 | 122122112020101222220021120000 |
| 4 | 132212132122022110211100 |
| 5 | 120120021332433222133 |
| 6 | 1154123401214450000 |
| 7 | 40230321225646134 |
| oct | 3646363212244520 |
| 9 | 578466358807500 |
| 10 | 134585386617168 |
| 11 | 399793841255a3 |
| 12 | 13117671803900 |
| 13 | 5a134695c9116 |
| 14 | 2533d78a3b3c4 |
| 15 | 1085d1c4ca413 |
| hex | 7a679a294950 |
134585386617168 has 400 divisors, whose sum is σ = 407088176006160. Its totient is φ = 42871514112000.
The previous prime is 134585386617127. The next prime is 134585386617257. The reversal of 134585386617168 is 861716683585431.
134585386617168 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 8 + 538 + 66 + 17 + 16 + 8 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 42110391519504 + 92474995097664 = 6489252^2 + 9616392^2 .
It is a super-2 number, since 2×1345853866171682 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 134585386617096 and 134585386617105.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20638761748 + ... + 20638768268.
Almost surely, 2134585386617168 is an apocalyptic number.
134585386617168 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 134585386617168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203544088003080).
134585386617168 is an abundant number, since it is smaller than the sum of its proper divisors (272502789388992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
134585386617168 is a wasteful number, since it uses less digits than its factorization.
134585386617168 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12108 (or 12093 counting only the distinct ones).
The product of its digits is 696729600, while the sum is 72.
The spelling of 134585386617168 in words is "one hundred thirty-four trillion, five hundred eighty-five billion, three hundred eighty-six million, six hundred seventeen thousand, one hundred sixty-eight".
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