Base | Representation |
---|---|
bin | 11111000001101001001… |
… | …110100101101111000000 |
3 | 21112211020120100220120000 |
4 | 133001221032211233000 |
5 | 234412434204223242 |
6 | 4311243054320000 |
7 | 310015443163533 |
oct | 37015116455700 |
9 | 7484216326500 |
10 | 2132069211072 |
11 | 752229539909 |
12 | 2a52617b9000 |
13 | 126090036948 |
14 | 7529aaaca1a |
15 | 3a6d7825a4c |
hex | 1f0693a5bc0 |
2132069211072 has 280 divisors, whose sum is σ = 6541529055600. Its totient is φ = 685818814464.
The previous prime is 2132069211017. The next prime is 2132069211079. The reversal of 2132069211072 is 2701129602312.
It is a super-3 number, since 3×21320692110723 (a number of 38 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2132069211079) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 562104408 + ... + 562108200.
It is an arithmetic number, because the mean of its divisors is an integer number (23362603770).
Almost surely, 22132069211072 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 2132069211072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270764527800).
2132069211072 is an abundant number, since it is smaller than the sum of its proper divisors (4409459844528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2132069211072 is a wasteful number, since it uses less digits than its factorization.
2132069211072 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7585 (or 7566 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 36.
The spelling of 2132069211072 in words is "two trillion, one hundred thirty-two billion, sixty-nine million, two hundred eleven thousand, seventy-two".
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