Base | Representation |
---|---|
bin | 110111111110100101… |
… | …011110000110101100 |
3 | 12202010212200112021000 |
4 | 313332211132012230 |
5 | 1441044041412343 |
6 | 43340124040300 |
7 | 4225322646453 |
oct | 677645360654 |
9 | 182125615230 |
10 | 60105810348 |
11 | 23544187a31 |
12 | b795393090 |
13 | 588b65656c |
14 | 2ca2957b9a |
15 | 186bba3ed3 |
hex | dfe95e1ac |
60105810348 has 108 divisors (see below), whose sum is σ = 161230669320. Its totient is φ = 19363492800.
The previous prime is 60105810343. The next prime is 60105810383. The reversal of 60105810348 is 84301850106.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
60105810348 is a `hidden beast` number, since 60 + 10 + 581 + 0 + 3 + 4 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (108).
It is a super-5 number, since 5×601058103485 (a number of 55 digits) contains 55555 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 (36).
It is not an unprimeable number, because it can be changed into a prime (60105810341) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78982288 + ... + 78983048.
Almost surely, 260105810348 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 60105810348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80615334660).
60105810348 is an abundant number, since it is smaller than the sum of its proper divisors (101124858972).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
60105810348 is an equidigital number, since it uses as much as digits as its factorization.
60105810348 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1597 (or 797 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The spelling of 60105810348 in words is "sixty billion, one hundred five million, eight hundred ten thousand, three hundred forty-eight".
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