| Base | Representation |
|---|---|
| bin | 101110000011111000… |
| … | …101011000101100100 |
| 3 | 11201122202122202210000 |
| 4 | 232003320223011210 |
| 5 | 1302242032441400 |
| 6 | 34415333501300 |
| 7 | 3400412134200 |
| oct | 560370530544 |
| 9 | 151582582700 |
| 10 | 49457312100 |
| 11 | 19a7a3aa659 |
| 12 | 97031a1830 |
| 13 | 48824bc821 |
| 14 | 2572625b00 |
| 15 | 1446de8600 |
| hex | b83e2b164 |
49457312100 has 405 divisors, whose sum is σ = 187025748987. Its totient is φ = 11272504320.
The previous prime is 49457312077. The next prime is 49457312111. The reversal of 49457312100 is 121375494.
The square root of 49457312100 is 222390.
It is a perfect power (a square), and thus also a powerful number.
49457312100 is a `hidden beast` number, since 494 + 57 + 3 + 12 + 100 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 2707953444 + 46749358656 = 52038^2 + 216216^2 .
It is a tau number, because it is divible by the number of its divisors (405).
It is a Harshad number since it is a multiple of its sum of digits (36).
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 134 ways as a sum of consecutive naturals, for example, 140105524 + ... + 140105876.
Almost surely, 249457312100 is an apocalyptic number.
49457312100 is the 222390-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 49457312100
49457312100 is an abundant number, since it is smaller than the sum of its proper divisors (137568436887).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49457312100 is a wasteful number, since it uses less digits than its factorization.
49457312100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 746 (or 370 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 36.
Multiplying 49457312100 by its sum of digits (36), we get a square (1780463235600 = 13343402).
49457312100 divided by its sum of digits (36) gives a square (1373814225 = 370652).
Adding to 49457312100 its reverse (121375494), we get a palindrome (49578687594).
The spelling of 49457312100 in words is "forty-nine billion, four hundred fifty-seven million, three hundred twelve thousand, one hundred".
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