| Base | Representation |
|---|---|
| bin | 111111100011010110… |
| … | …0001100111111000000 |
| 3 | 111001021100102102200000 |
| 4 | 1333012230030333000 |
| 5 | 4214001212244324 |
| 6 | 142410305400000 |
| 7 | 12601016201400 |
| oct | 1770654147700 |
| 9 | 431240372600 |
| 10 | 136477462464 |
| 11 | 52974a735a2 |
| 12 | 2254a039000 |
| 13 | cb3cb64265 |
| 14 | 6869884800 |
| 15 | 383b8619c9 |
| hex | 1fc6b0cfc0 |
136477462464 has 504 divisors, whose sum is σ = 478093674240. Its totient is φ = 38482988544.
The previous prime is 136477462447. The next prime is 136477462483. The reversal of 136477462464 is 464264774631.
136477462464 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 7 + 7 + 4 + 624 + 6 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (504).
It is a super-2 number, since 2×1364774624642 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 136477462464.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60200659 + ... + 60202925.
It is an arithmetic number, because the mean of its divisors is an integer number (948598560).
Almost surely, 2136477462464 is an apocalyptic number.
136477462464 is a gapful number since it is divisible by the number (14) 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 136477462464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239046837120).
136477462464 is an abundant number, since it is smaller than the sum of its proper divisors (341616211776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136477462464 is an equidigital number, since it uses as much as digits as its factorization.
136477462464 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2387 (or 2358 counting only the distinct ones).
The product of its digits is 16257024, while the sum is 54.
The spelling of 136477462464 in words is "one hundred thirty-six billion, four hundred seventy-seven million, four hundred sixty-two thousand, four hundred sixty-four".
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