Base | Representation |
---|---|
bin | 100001100000101000111111… |
… | …000011111001011000000000 |
3 | 201022211020211122111202010000 |
4 | 201200220333003321120000 |
5 | 123304122300314442432 |
6 | 1241240440051040000 |
7 | 43020515151431010 |
oct | 4140507703713000 |
9 | 638736748452100 |
10 | 147378565780992 |
11 | 42a609982609a7 |
12 | 14642b535a0000 |
13 | 643097bacc820 |
14 | 2857236b41c40 |
15 | 12089c49b457c |
hex | 860a3f0f9600 |
147378565780992 has 800 divisors, whose sum is σ = 546981201087552. Its totient is φ = 38468264656896.
The previous prime is 147378565780939. The next prime is 147378565781003. The reversal of 147378565780992 is 299087565873741.
147378565780992 is a `hidden beast` number, since 1 + 4 + 7 + 37 + 8 + 5 + 6 + 578 + 0 + 9 + 9 + 2 = 666.
147378565780992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (81).
It is a congruent number.
It is an unprimeable number.
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 79 ways as a sum of consecutive naturals, for example, 365872048 + ... + 366274640.
It is a 1-persistent number, because it is pandigital, but 2⋅147378565780992 = 294757131561984 is not.
Almost surely, 2147378565780992 is an apocalyptic number.
147378565780992 is a gapful number since it is divisible by the number (12) 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 147378565780992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273490600543776).
147378565780992 is an abundant number, since it is smaller than the sum of its proper divisors (399602635306560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
147378565780992 is an equidigital number, since it uses as much as digits as its factorization.
147378565780992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 402740 (or 402715 counting only the distinct ones).
The product of its (nonzero) digits is 6401203200, while the sum is 81.
The spelling of 147378565780992 in words is "one hundred forty-seven trillion, three hundred seventy-eight billion, five hundred sixty-five million, seven hundred eighty thousand, nine hundred ninety-two".
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