| Base | Representation |
|---|---|
| bin | 111110010100010110… |
| … | …1010010001011100000 |
| 3 | 110210102122000020021200 |
| 4 | 1330220231102023200 |
| 5 | 4143034144231020 |
| 6 | 141251303521200 |
| 7 | 12445233161424 |
| oct | 1745055221340 |
| 9 | 423378006250 |
| 10 | 133826945760 |
| 11 | 51834905122 |
| 12 | 21b2a459200 |
| 13 | c8099b4991 |
| 14 | 6697852b84 |
| 15 | 3733d03590 |
| hex | 1f28b522e0 |
133826945760 has 576 divisors, whose sum is σ = 503853727104. Its totient is φ = 32204390400.
The previous prime is 133826945737. The next prime is 133826945773. The reversal of 133826945760 is 67549628331.
133826945760 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 2 + 69 + 4 + 576 + 0 = 666.
It is a super-2 number, since 2×1338269457602 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 133826945697 and 133826945706.
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 95 ways as a sum of consecutive naturals, for example, 64307920 + ... + 64310000.
It is an arithmetic number, because the mean of its divisors is an integer number (874746054).
It is a 1-persistent number, because it is pandigital, but 2⋅133826945760 = 267653891520 is not.
Almost surely, 2133826945760 is an apocalyptic number.
133826945760 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 133826945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251926863552).
133826945760 is an abundant number, since it is smaller than the sum of its proper divisors (370026781344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133826945760 is a wasteful number, since it uses less digits than its factorization.
133826945760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2227 (or 2216 counting only the distinct ones).
The product of its (nonzero) digits is 6531840, while the sum is 54.
The spelling of 133826945760 in words is "one hundred thirty-three billion, eight hundred twenty-six million, nine hundred forty-five thousand, seven hundred sixty".
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