Base | Representation |
---|---|
bin | 101011100001111100000… |
… | …110111000010110100000 |
3 | 101120222021101010021000000 |
4 | 223201330012320112200 |
5 | 343002321112311410 |
6 | 10210115402300000 |
7 | 426056112335400 |
oct | 53417406702640 |
9 | 11528241107000 |
10 | 2991379416480 |
11 | a53700771794 |
12 | 4038baab7600 |
13 | 189116865300 |
14 | a4ad8048800 |
15 | 52c2ca11dc0 |
hex | 2b87c1b85a0 |
2991379416480 has 3024 divisors, whose sum is σ = 14135518746720. Its totient is φ = 594261577728.
The previous prime is 2991379416437. The next prime is 2991379416497. The reversal of 2991379416480 is 846149731992.
2991379416480 is a `hidden beast` number, since 2 + 9 + 9 + 137 + 9 + 4 + 16 + 480 = 666.
It is a tau number, because it is divible by the number of its divisors (3024).
It is a super-3 number, since 3×29913794164803 (a number of 38 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 18352020879 + ... + 18352021041.
It is an arithmetic number, because the mean of its divisors is an integer number (4674444030).
Almost surely, 22991379416480 is an apocalyptic number.
2991379416480 is a gapful number since it is divisible by the number (20) 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 2991379416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7067759373360).
2991379416480 is an abundant number, since it is smaller than the sum of its proper divisors (11144139330240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2991379416480 is a wasteful number, since it uses less digits than its factorization.
2991379416480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 255 (or 212 counting only the distinct ones).
The product of its (nonzero) digits is 23514624, while the sum is 63.
The spelling of 2991379416480 in words is "two trillion, nine hundred ninety-one billion, three hundred seventy-nine million, four hundred sixteen thousand, four hundred eighty".
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