Base | Representation |
---|---|
bin | 101101000010110101001… |
… | …100011001110100000000 |
3 | 101221220210220000122001000 |
4 | 231002311030121310000 |
5 | 401203403043140142 |
6 | 10330003055412000 |
7 | 436431206052660 |
oct | 55026514316400 |
9 | 11856726018030 |
10 | 3095416380672 |
11 | a93838938830 |
12 | 41bab4824000 |
13 | 195b86839255 |
14 | a9b672c21a0 |
15 | 557bb37414c |
hex | 2d0b5319d00 |
3095416380672 has 1152 divisors, whose sum is σ = 11863106519040. Its totient is φ = 772623360000.
The previous prime is 3095416380613. The next prime is 3095416380689. The reversal of 3095416380672 is 2760836145903.
3095416380672 is a `hidden beast` number, since 3 + 0 + 9 + 541 + 6 + 38 + 0 + 67 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
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 127 ways as a sum of consecutive naturals, for example, 2689327297 + ... + 2689328447.
It is an arithmetic number, because the mean of its divisors is an integer number (10297835520).
It is a 1-persistent number, because it is pandigital, but 2⋅3095416380672 = 6190832761344 is not.
Almost surely, 23095416380672 is an apocalyptic number.
3095416380672 is a gapful number since it is divisible by the number (32) 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 3095416380672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5931553259520).
3095416380672 is an abundant number, since it is smaller than the sum of its proper divisors (8767690138368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3095416380672 is a wasteful number, since it uses less digits than its factorization.
3095416380672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1388 (or 1368 counting only the distinct ones).
The product of its (nonzero) digits is 6531840, while the sum is 54.
The spelling of 3095416380672 in words is "three trillion, ninety-five billion, four hundred sixteen million, three hundred eighty thousand, six hundred seventy-two".
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