Base | Representation |
---|---|
bin | 101101000001010000101010… |
… | …011011110110000100000000 |
3 | 221222001111021010200012220000 |
4 | 231001100222123312010000 |
5 | 201423002321244204000 |
6 | 1541035203220520000 |
7 | 56463635320405440 |
oct | 5501205233660400 |
9 | 858044233605800 |
10 | 197998704288000 |
11 | 580a7862833a00 |
12 | 1a259585550000 |
13 | 8663275461525 |
14 | 36c728d04c120 |
15 | 17d560246c000 |
hex | b4142a6f6100 |
197998704288000 has 2160 divisors, whose sum is σ = 925595539220352. Its totient is φ = 41142131712000.
The previous prime is 197998704287999. The next prime is 197998704288067. The reversal of 197998704288000 is 882407899791.
197998704288000 is a `hidden beast` number, since 197 + 9 + 9 + 8 + 7 + 0 + 428 + 8 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2160).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a self number, because there is not a number n which added to its sum of digits gives 197998704288000.
It is an unprimeable number.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2195378907 + ... + 2195469093.
Almost surely, 2197998704288000 is an apocalyptic number.
197998704288000 is a gapful number since it is divisible by the number (10) 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 197998704288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462797769610176).
197998704288000 is an abundant number, since it is smaller than the sum of its proper divisors (727596834932352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
197998704288000 is an equidigital number, since it uses as much as digits as its factorization.
197998704288000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 90259 (or 90215 counting only the distinct ones).
The product of its (nonzero) digits is 146313216, while the sum is 72.
The spelling of 197998704288000 in words is "one hundred ninety-seven trillion, nine hundred ninety-eight billion, seven hundred four million, two hundred eighty-eight thousand".
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