| Base | Representation |
|---|---|
| bin | 100100001101110011000… |
| … | …1110010001010101000000 |
| 3 | 122121211121222101112100000 |
| 4 | 1020123212032101111000 |
| 5 | 1123022241231120230 |
| 6 | 14330334002200000 |
| 7 | 1022415320163600 |
| oct | 110334616212500 |
| 9 | 18554558345300 |
| 10 | 4977434629440 |
| 11 | 1649a110a5689 |
| 12 | 6847b0953000 |
| 13 | 2a14a707c8b0 |
| 14 | 132ca28b4c00 |
| 15 | 8971b665b60 |
| hex | 486e6391540 |
4977434629440 has 4032 divisors, whose sum is σ = 24669633590784. Its totient is φ = 941755465728.
The previous prime is 4977434629429. The next prime is 4977434629507. The reversal of 4977434629440 is 449264347794.
4977434629440 is a `hidden beast` number, since 4 + 9 + 7 + 7 + 43 + 462 + 94 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (4032).
It is a super-2 number, since 2×49774346294402 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
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 575 ways as a sum of consecutive naturals, for example, 19367449792 + ... + 19367450048.
It is an arithmetic number, because the mean of its divisors is an integer number (6118460712).
Almost surely, 24977434629440 is an apocalyptic number.
4977434629440 is a gapful number since it is divisible by the number (40) 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 4977434629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12334816795392).
4977434629440 is an abundant number, since it is smaller than the sum of its proper divisors (19692198961344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4977434629440 is a wasteful number, since it uses less digits than its factorization.
4977434629440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 356 (or 327 counting only the distinct ones).
The product of its (nonzero) digits is 146313216, while the sum is 63.
The spelling of 4977434629440 in words is "four trillion, nine hundred seventy-seven billion, four hundred thirty-four million, six hundred twenty-nine thousand, four hundred forty".
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