| Base | Representation |
|---|---|
| bin | 101101010000010000… |
| … | …111101110011000000 |
| 3 | 11122102102001000110000 |
| 4 | 231100100331303000 |
| 5 | 1244003330434320 |
| 6 | 34153355240000 |
| 7 | 3340064636340 |
| oct | 552020756300 |
| 9 | 148372030400 |
| 10 | 48591264960 |
| 11 | 19675558617 |
| 12 | 9501149000 |
| 13 | 4774c533b4 |
| 14 | 24cd5c6d20 |
| 15 | 13e5d76c90 |
| hex | b5043dcc0 |
48591264960 has 1120 divisors, whose sum is σ = 209034473472. Its totient is φ = 10480803840.
The previous prime is 48591264959. The next prime is 48591264961. The reversal of 48591264960 is 6946219584.
48591264960 is a `hidden beast` number, since 4 + 8 + 591 + 2 + 6 + 49 + 6 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (48591264959) and next prime (48591264961).
It is a tau number, because it is divible by the number of its divisors (1120).
It is a super-2 number, since 2×485912649602 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 48591264897 and 48591264906.
It is not an unprimeable number, because it can be changed into a prime (48591264961) by changing a digit.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 298105839 + ... + 298106001.
Almost surely, 248591264960 is an apocalyptic number.
48591264960 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 48591264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104517236736).
48591264960 is an abundant number, since it is smaller than the sum of its proper divisors (160443208512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48591264960 is a wasteful number, since it uses less digits than its factorization.
48591264960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 283 (or 264 counting only the distinct ones).
The product of its (nonzero) digits is 3732480, while the sum is 54.
The spelling of 48591264960 in words is "forty-eight billion, five hundred ninety-one million, two hundred sixty-four thousand, nine hundred sixty".
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