Base | Representation |
---|---|
bin | 10010100100110000… |
… | …11111111000101010 |
3 | 221201222020120120000 |
4 | 21102120133320222 |
5 | 130410323311422 |
6 | 4325304243430 |
7 | 502055231625 |
oct | 112230377052 |
9 | 27658216500 |
10 | 9972088362 |
11 | 4257a90645 |
12 | 1b23770576 |
13 | c2bc96c02 |
14 | 6a8578dbc |
15 | 3d56e7cac |
hex | 25261fe2a |
9972088362 has 20 divisors (see below), whose sum is σ = 22344865026. Its totient is φ = 3324029400.
The previous prime is 9972088351. The next prime is 9972088381. The reversal of 9972088362 is 2638802799.
It is a happy number.
9972088362 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 7889170041 + 2082918321 = 88821^2 + 45639^2 .
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 9972088299 and 9972088308.
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 9 ways as a sum of consecutive naturals, for example, 30777889 + ... + 30778212.
Almost surely, 29972088362 is an apocalyptic number.
9972088362 is an abundant number, since it is smaller than the sum of its proper divisors (12372776664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9972088362 is a wasteful number, since it uses less digits than its factorization.
9972088362 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 61556115 (or 61556106 counting only the distinct ones).
The product of its (nonzero) digits is 2612736, while the sum is 54.
The square root of 9972088362 is about 99860.3442914153. The cubic root of 9972088362 is about 2152.4283621705.
The spelling of 9972088362 in words is "nine billion, nine hundred seventy-two million, eighty-eight thousand, three hundred sixty-two".
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