Base | Representation |
---|---|
bin | 10110010000011011011111… |
… | …001110010000000000000000 |
3 | 110211120211000002221020000000 |
4 | 112100123133032100000000 |
5 | 100312231112212334220 |
6 | 544104121440000000 |
7 | 26422014364263210 |
oct | 2620333716200000 |
9 | 424524002836000 |
10 | 97886049730560 |
11 | 2920a2712093a3 |
12 | ab8ab80000000 |
13 | 42807cbb85b50 |
14 | 1a259d2692240 |
15 | b4b3929e9390 |
hex | 5906df390000 |
97886049730560 has 4352 divisors, whose sum is σ = 462242328576000. Its totient is φ = 19318217637888.
The previous prime is 97886049730549. The next prime is 97886049730583. The reversal of 97886049730560 is 6503794068879.
97886049730560 is a `hidden beast` number, since 9 + 7 + 8 + 8 + 604 + 9 + 7 + 3 + 0 + 5 + 6 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is an unprimeable number.
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 255 ways as a sum of consecutive naturals, for example, 1239063920601 + ... + 1239063920679.
Almost surely, 297886049730560 is an apocalyptic number.
97886049730560 is a gapful number since it is divisible by the number (90) 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 97886049730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231121164288000).
97886049730560 is an abundant number, since it is smaller than the sum of its proper divisors (364356278845440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97886049730560 is an frugal number, since it uses more digits than its factorization.
97886049730560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 176 (or 128 counting only the distinct ones).
The product of its (nonzero) digits is 548674560, while the sum is 72.
The spelling of 97886049730560 in words is "ninety-seven trillion, eight hundred eighty-six billion, forty-nine million, seven hundred thirty thousand, five hundred sixty".
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