Base | Representation |
---|---|
bin | 100110101011100101… |
… | …1111111110000001100 |
3 | 21221102002110222122200 |
4 | 1031113023333300030 |
5 | 2330110142004012 |
6 | 102054401041500 |
7 | 6000324023013 |
oct | 1152713776014 |
9 | 257362428580 |
10 | 83067141132 |
11 | 32257265668 |
12 | 14123026290 |
13 | 7aaa6c6821 |
14 | 404025ba7a |
15 | 22628c63dc |
hex | 13572ffc0c |
83067141132 has 72 divisors (see below), whose sum is σ = 213490346160. Its totient is φ = 27225832320.
The previous prime is 83067141127. The next prime is 83067141137. The reversal of 83067141132 is 23114176038.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (83067141127) and next prime (83067141137).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (83067141137) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9862419 + ... + 9870837.
Almost surely, 283067141132 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 83067141132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106745173080).
83067141132 is an abundant number, since it is smaller than the sum of its proper divisors (130423205028).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83067141132 is a wasteful number, since it uses less digits than its factorization.
83067141132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12983 (or 12978 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The spelling of 83067141132 in words is "eighty-three billion, sixty-seven million, one hundred forty-one thousand, one hundred thirty-two".
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