| Base | Representation |
|---|---|
| bin | 1100000111011011101… |
| … | …10001000011101101100 |
| 3 | 1110210120011112120000000 |
| 4 | 12003231312020131230 |
| 5 | 23310044124013202 |
| 6 | 515125433104300 |
| 7 | 42035324151000 |
| oct | 6035566103554 |
| 9 | 1423504476000 |
| 10 | 416307251052 |
| 11 | 150611654490 |
| 12 | 68824558090 |
| 13 | 30346c60914 |
| 14 | 16213c74700 |
| 15 | ac6838191c |
| hex | 60edd8876c |
416307251052 has 384 divisors, whose sum is σ = 1390163712000. Its totient is φ = 108123180480.
The previous prime is 416307251051. The next prime is 416307251123. The reversal of 416307251052 is 250152703614.
416307251052 is a `hidden beast` number, since 4 + 1 + 630 + 7 + 2 + 5 + 10 + 5 + 2 = 666.
416307251052 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 416307250998 and 416307251016.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (416307251051) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32999898 + ... + 33012510.
It is an arithmetic number, because the mean of its divisors is an integer number (3620218000).
Almost surely, 2416307251052 is an apocalyptic number.
416307251052 is a gapful number since it is divisible by the number (42) 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 416307251052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695081856000).
416307251052 is an abundant number, since it is smaller than the sum of its proper divisors (973856460948).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
416307251052 is a wasteful number, since it uses less digits than its factorization.
416307251052 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12670 (or 12636 counting only the distinct ones).
The product of its (nonzero) digits is 50400, while the sum is 36.
Adding to 416307251052 its reverse (250152703614), we get a palindrome (666459954666).
It can be divided in two parts, 4163072 and 51052, that added together give a palindrome (4214124).
The spelling of 416307251052 in words is "four hundred sixteen billion, three hundred seven million, two hundred fifty-one thousand, fifty-two".
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