Base | Representation |
---|---|
bin | 101011000111001010000100… |
… | …011000101101111000000000 |
3 | 220212100022222212221122120000 |
4 | 223013022010120231320000 |
5 | 144323013332403233323 |
6 | 1511132350443320000 |
7 | 54636500133111300 |
oct | 5307120430557000 |
9 | 825308885848500 |
10 | 189607847321088 |
11 | 55462266823469 |
12 | 19323330520000 |
13 | 81a4c3550c0b1 |
14 | 34b70d6a15600 |
15 | 16dc20663ee43 |
hex | ac728462de00 |
189607847321088 has 2400 divisors, whose sum is σ = 696414486620160. Its totient is φ = 51143575633920.
The previous prime is 189607847321083. The next prime is 189607847321117. The reversal of 189607847321088 is 880123748706981.
189607847321088 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 0 + 78 + 473 + 2 + 1 + 0 + 88 = 666.
It is a super-2 number, since 2×1896078473210882 (a number of 29 digits) contains 22 as substring.
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 (189607847321083) by changing a digit.
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 239 ways as a sum of consecutive naturals, for example, 704861885818 + ... + 704861886086.
Almost surely, 2189607847321088 is an apocalyptic number.
189607847321088 is a gapful number since it is divisible by the number (18) 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 189607847321088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348207243310080).
189607847321088 is an abundant number, since it is smaller than the sum of its proper divisors (506806639299072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
189607847321088 is a wasteful number, since it uses less digits than its factorization.
189607847321088 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 578 (or 546 counting only the distinct ones).
The product of its (nonzero) digits is 260112384, while the sum is 72.
The spelling of 189607847321088 in words is "one hundred eighty-nine trillion, six hundred seven billion, eight hundred forty-seven million, three hundred twenty-one thousand, eighty-eight".
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