Base | Representation |
---|---|
bin | 101100010011110101… |
… | …010101110000101000 |
3 | 11112210202020211122000 |
4 | 230103311111300220 |
5 | 1234414302440440 |
6 | 33505020331000 |
7 | 3303004100121 |
oct | 542365256050 |
9 | 145722224560 |
10 | 47577390120 |
11 | 191a5218427 |
12 | 92796a3a60 |
13 | 4642b98a60 |
14 | 2434aa7048 |
15 | 1386d54730 |
hex | b13d55c28 |
47577390120 has 256 divisors, whose sum is σ = 176301619200. Its totient is φ = 11333468160.
The previous prime is 47577390101. The next prime is 47577390121. The reversal of 47577390120 is 2109377574.
47577390120 is a `hidden beast` number, since 4 + 75 + 77 + 390 + 120 = 666.
It is a super-2 number, since 2×475773901202 (a number of 22 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (47577390121) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 380584 + ... + 489896.
It is an arithmetic number, because the mean of its divisors is an integer number (688678200).
Almost surely, 247577390120 is an apocalyptic number.
47577390120 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 47577390120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88150809600).
47577390120 is an abundant number, since it is smaller than the sum of its proper divisors (128724229080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47577390120 is a wasteful number, since it uses less digits than its factorization.
47577390120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 109377 (or 109367 counting only the distinct ones).
The product of its (nonzero) digits is 370440, while the sum is 45.
The spelling of 47577390120 in words is "forty-seven billion, five hundred seventy-seven million, three hundred ninety thousand, one hundred twenty".
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