Base | Representation |
---|---|
bin | 110010111010011011000… |
… | …0000010010001101100000 |
3 | 220202221112101020000120000 |
4 | 1211310312000102031200 |
5 | 1404121142342110230 |
6 | 22514321553020000 |
7 | 1321355200445544 |
oct | 145646600221540 |
9 | 26687471200500 |
10 | 6997407769440 |
11 | 225864729a140 |
12 | 950189854600 |
13 | 3b9b11575baa |
14 | 1a2967c57a24 |
15 | c2042d55b60 |
hex | 65d36012360 |
6997407769440 has 480 divisors, whose sum is σ = 27136738135584. Its totient is φ = 1683954524160.
The previous prime is 6997407769381. The next prime is 6997407769441. The reversal of 6997407769440 is 449677047996.
6997407769440 is a `hidden beast` number, since 6 + 9 + 97 + 407 + 7 + 6 + 94 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (480).
It is a Smith number, since the sum of its digits (72) 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 (72).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (6997407769441) 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 79 ways as a sum of consecutive naturals, for example, 19351582 + ... + 19709858.
Almost surely, 26997407769440 is an apocalyptic number.
6997407769440 is a gapful number since it is divisible by the number (60) 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 6997407769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13568369067792).
6997407769440 is an abundant number, since it is smaller than the sum of its proper divisors (20139330366144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6997407769440 is a wasteful number, since it uses less digits than its factorization.
6997407769440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 358452 (or 358435 counting only the distinct ones).
The product of its (nonzero) digits is 576108288, while the sum is 72.
The spelling of 6997407769440 in words is "six trillion, nine hundred ninety-seven billion, four hundred seven million, seven hundred sixty-nine thousand, four hundred forty".
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