Base | Representation |
---|---|
bin | 1000110101000101000100… |
… | …1110000000000000000000 |
3 | 1021101002000102110220210000 |
4 | 2031101101032000000000 |
5 | 2233023430102312342 |
6 | 32351442145440000 |
7 | 2021244003353520 |
oct | 215212116000000 |
9 | 37332012426700 |
10 | 9707988713472 |
11 | 31031535a6465 |
12 | 1109581940000 |
13 | 5555c841a70a |
14 | 257c24d97680 |
15 | 11c7d8ca044c |
hex | 8d451380000 |
9707988713472 has 1200 divisors, whose sum is σ = 35523690958800. Its totient is φ = 2587449360384.
The previous prime is 9707988713461. The next prime is 9707988713473. The reversal of 9707988713472 is 2743178897079.
9707988713472 is a `hidden beast` number, since 9 + 7 + 0 + 7 + 9 + 88 + 71 + 3 + 472 = 666.
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 9707988713472.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9707988713473) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 85911404488 + ... + 85911404600.
It is an arithmetic number, because the mean of its divisors is an integer number (29603075799).
Almost surely, 29707988713472 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9707988713472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17761845479400).
9707988713472 is an abundant number, since it is smaller than the sum of its proper divisors (25815702245328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9707988713472 is an frugal number, since it uses more digits than its factorization.
9707988713472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 204 (or 142 counting only the distinct ones).
The product of its (nonzero) digits is 298722816, while the sum is 72.
The spelling of 9707988713472 in words is "nine trillion, seven hundred seven billion, nine hundred eighty-eight million, seven hundred thirteen thousand, four hundred seventy-two".
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