Base | Representation |
---|---|
bin | 111000100111001111011000… |
… | …0111110001100110110000000 |
3 | 2102022011212212111212110210000 |
4 | 1301032132300332030312000 |
5 | 1010232302443221430210 |
6 | 4523034132555440000 |
7 | 206614313630522064 |
oct | 16116366076146600 |
9 | 2368155774773700 |
10 | 497974362295680 |
11 | 1347408173952a6 |
12 | 47a26926456000 |
13 | 184b2a1c75889a |
14 | 8ad8132a63aa4 |
15 | 3c886c8c83ac0 |
hex | 1c4e7b0f8cd80 |
497974362295680 has 640 divisors, whose sum is σ = 1796374979942400. Its totient is φ = 131448763699200.
The previous prime is 497974362295679. The next prime is 497974362295691. The reversal of 497974362295680 is 86592263479794.
497974362295680 is a `hidden beast` number, since 4 + 9 + 7 + 9 + 7 + 43 + 6 + 2 + 2 + 9 + 568 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (640).
It is a Harshad number since it is a multiple of its sum of digits (81).
It is a self number, because there is not a number n which added to its sum of digits gives 497974362295680.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13621097241 + ... + 13621133799.
It is an arithmetic number, because the mean of its divisors is an integer number (2806835906160).
Almost surely, 2497974362295680 is an apocalyptic number.
497974362295680 is a gapful number since it is divisible by the number (40) 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 497974362295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898187489971200).
497974362295680 is an abundant number, since it is smaller than the sum of its proper divisors (1298400617646720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
497974362295680 is a wasteful number, since it uses less digits than its factorization.
497974362295680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 39244 (or 39223 counting only the distinct ones).
The product of its (nonzero) digits is 9876142080, while the sum is 81.
The spelling of 497974362295680 in words is "four hundred ninety-seven trillion, nine hundred seventy-four billion, three hundred sixty-two million, two hundred ninety-five thousand, six hundred eighty".
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