Base | Representation |
---|---|
bin | 10011110001101001111… |
… | …00110101000100000000 |
3 | 2101221220001022201100000 |
4 | 21320310330311010000 |
5 | 42113100224201414 |
6 | 1240053241200000 |
7 | 100043321565033 |
oct | 11706474650400 |
9 | 2357801281300 |
10 | 679493193984 |
11 | 242198214830 |
12 | ab834a90000 |
13 | 4c0caa963b7 |
14 | 24c5d9b501a |
15 | 12a1dacbb09 |
hex | 9e34f35100 |
679493193984 has 432 divisors, whose sum is σ = 2222048424960. Its totient is φ = 205383444480.
The previous prime is 679493193979. The next prime is 679493193989. The reversal of 679493193984 is 489391394976.
679493193984 is a `hidden beast` number, since 67 + 94 + 93 + 1 + 9 + 398 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (679493193979) and next prime (679493193989).
It is a tau number, because it is divible by the number of its divisors (432).
It is a super-2 number, since 2×6794931939842 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is not an unprimeable number, because it can be changed into a prime (679493193989) 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 47 ways as a sum of consecutive naturals, for example, 333247237 + ... + 333249275.
Almost surely, 2679493193984 is an apocalyptic number.
679493193984 is a gapful number since it is divisible by the number (64) 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 679493193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111024212480).
679493193984 is an abundant number, since it is smaller than the sum of its proper divisors (1542555230976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
679493193984 is a wasteful number, since it uses less digits than its factorization.
679493193984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2568 (or 2542 counting only the distinct ones).
The product of its digits is 317447424, while the sum is 72.
The spelling of 679493193984 in words is "six hundred seventy-nine billion, four hundred ninety-three million, one hundred ninety-three thousand, nine hundred eighty-four".
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