| Base | Representation |
|---|---|
| bin | 10110001000110010100001… |
| … | …10001111100111100000000 |
| 3 | 20101100210220202121011202000 |
| 4 | 23010121100301330330000 |
| 5 | 22340040143214323200 |
| 6 | 251311304130024000 |
| 7 | 13153023350545161 |
| oct | 1304312061747400 |
| 9 | 211323822534660 |
| 10 | 48680514604800 |
| 11 | 1456932143a101 |
| 12 | 5562739a18000 |
| 13 | 212172574a7c0 |
| 14 | c04214251768 |
| 15 | 59645a26e300 |
| hex | 2c4650c7cf00 |
48680514604800 has 1728 divisors, whose sum is σ = 199106923008000. Its totient is φ = 11557350604800.
The previous prime is 48680514604793. The next prime is 48680514604801. The reversal of 48680514604800 is 840641508684.
It is a happy number.
48680514604800 is a `hidden beast` number, since 4 + 8 + 6 + 80 + 514 + 6 + 0 + 48 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1728).
It is a super-2 number, since 2×486805146048002 (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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (48680514604801) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24303800599 + ... + 24303802601.
Almost surely, 248680514604800 is an apocalyptic number.
48680514604800 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 48680514604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99553461504000).
48680514604800 is an abundant number, since it is smaller than the sum of its proper divisors (150426408403200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48680514604800 is a wasteful number, since it uses less digits than its factorization.
48680514604800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2431 (or 2406 counting only the distinct ones).
The product of its (nonzero) digits is 5898240, while the sum is 54.
The spelling of 48680514604800 in words is "forty-eight trillion, six hundred eighty billion, five hundred fourteen million, six hundred four thousand, eight hundred".
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