| Base | Representation |
|---|---|
| bin | 10000101101010110111011… |
| … | …11010011010100111100100 |
| 3 | 11211002120210000110102210000 |
| 4 | 20112223131322122213210 |
| 5 | 14303443401032444400 |
| 6 | 210051235403501300 |
| 7 | 10511404440120522 |
| oct | 1026533572324744 |
| 9 | 154076700412700 |
| 10 | 36742873328100 |
| 11 | 10786624122065 |
| 12 | 4155021b27830 |
| 13 | 1766ab8381074 |
| 14 | 9105164bd312 |
| 15 | 43ab76bc2600 |
| hex | 216adde9a9e4 |
36742873328100 has 405 divisors, whose sum is σ = 121778947517227. Its totient is φ = 9582937355520.
The previous prime is 36742873328081. The next prime is 36742873328171. The reversal of 36742873328100 is 182337824763.
The square root of 36742873328100 is 6061590.
It is a perfect power (a square), and thus also a powerful number.
36742873328100 is a `hidden beast` number, since 3 + 67 + 428 + 7 + 33 + 28 + 100 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1712857972644 + 35030015355456 = 1308762^2 + 5918616^2 .
It is a tau number, because it is divible by the number of its divisors (405).
It is a super-2 number, since 2×367428733281002 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a Duffinian number.
It is an unprimeable number.
It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 25640524984 + ... + 25640526416.
Almost surely, 236742873328100 is an apocalyptic number.
36742873328100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
36742873328100 is the 6061590-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 36742873328100
36742873328100 is an abundant number, since it is smaller than the sum of its proper divisors (85036074189127).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36742873328100 is an equidigital number, since it uses as much as digits as its factorization.
36742873328100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2986 (or 1490 counting only the distinct ones).
The product of its (nonzero) digits is 8128512, while the sum is 54.
The spelling of 36742873328100 in words is "thirty-six trillion, seven hundred forty-two billion, eight hundred seventy-three million, three hundred twenty-eight thousand, one hundred".
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