Base | Representation |
---|---|
bin | 10101110111001010111011… |
… | …11100010100101110000000 |
3 | 20022012221100111221220100000 |
4 | 22323211131330110232000 |
5 | 22300130344112214340 |
6 | 250125230003200000 |
7 | 13061212624254432 |
oct | 1273453574245600 |
9 | 208187314856300 |
10 | 48075145038720 |
11 | 14355611070098 |
12 | 5485350976000 |
13 | 20a960b517777 |
14 | bc2bc6bc8652 |
15 | 585828ce8d30 |
hex | 2bb95df14b80 |
48075145038720 has 768 divisors, whose sum is σ = 182371005835200. Its totient is φ = 12060222160896.
The previous prime is 48075145038707. The next prime is 48075145038727. The reversal of 48075145038720 is 2783054157084.
48075145038720 is a `hidden beast` number, since 4 + 8 + 0 + 7 + 51 + 4 + 503 + 87 + 2 + 0 = 666.
48075145038720 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×480751450387203 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 (48075145038727) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10038658086 + ... + 10038662874.
Almost surely, 248075145038720 is an apocalyptic number.
48075145038720 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 48075145038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91185502917600).
48075145038720 is an abundant number, since it is smaller than the sum of its proper divisors (134295860796480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48075145038720 is a wasteful number, since it uses less digits than its factorization.
48075145038720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8637 (or 8613 counting only the distinct ones).
The product of its (nonzero) digits is 7526400, while the sum is 54.
The spelling of 48075145038720 in words is "forty-eight trillion, seventy-five billion, one hundred forty-five million, thirty-eight thousand, seven hundred twenty".
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