Base | Representation |
---|---|
bin | 11110000010111111111010… |
… | …111101001110011000000000 |
3 | 122022220011201100002010200000 |
4 | 132002333322331032120000 |
5 | 114310101004100242241 |
6 | 1145015413110400000 |
7 | 36556224322252500 |
oct | 3602777275163000 |
9 | 568804640063600 |
10 | 132147469149696 |
11 | 39119477291940 |
12 | 129a3094060000 |
13 | 58975b6c57540 |
14 | 248bd8623ba00 |
15 | 10426d3d83eb6 |
hex | 782ffaf4e600 |
132147469149696 has 2880 divisors, whose sum is σ = 559265447220480. Its totient is φ = 30585314672640.
The previous prime is 132147469149607. The next prime is 132147469149701. The reversal of 132147469149696 is 696941964741231.
It is a happy number.
132147469149696 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 4 + 7 + 46 + 9 + 1 + 496 + 96 = 666.
It is a super-2 number, since 2×1321474691496962 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25281701835 + ... + 25281707061.
It is an arithmetic number, because the mean of its divisors is an integer number (194189391396).
Almost surely, 2132147469149696 is an apocalyptic number.
132147469149696 is a gapful number since it is divisible by the number (16) 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 132147469149696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279632723610240).
132147469149696 is an abundant number, since it is smaller than the sum of its proper divisors (427117978070784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132147469149696 is a wasteful number, since it uses less digits than its factorization.
132147469149696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5327 (or 5292 counting only the distinct ones).
The product of its digits is 423263232, while the sum is 72.
The spelling of 132147469149696 in words is "one hundred thirty-two trillion, one hundred forty-seven billion, four hundred sixty-nine million, one hundred forty-nine thousand, six hundred ninety-six".
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