| Base | Representation |
|---|---|
| bin | 11110001101011110110100… |
| … | …111111110000010000000000 |
| 3 | 122102110001010220120121012000 |
| 4 | 132031132310333300100000 |
| 5 | 114403401324034211334 |
| 6 | 1150330351514304000 |
| 7 | 36662246116566150 |
| oct | 3615366477602000 |
| 9 | 572401126517160 |
| 10 | 132867849913344 |
| 11 | 39376a36466957 |
| 12 | 12a9a81a128000 |
| 13 | 591a4cc936a30 |
| 14 | 24b4ba4222760 |
| 15 | 10562e731b299 |
| hex | 78d7b4ff0400 |
132867849913344 has 2112 divisors, whose sum is σ = 504856935475200. Its totient is φ = 33612385812480.
The previous prime is 132867849913297. The next prime is 132867849913349. The reversal of 132867849913344 is 443319948768231.
132867849913344 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 67 + 8 + 499 + 1 + 33 + 44 = 666.
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 not an unprimeable number, because it can be changed into a prime (132867849913349) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 432794299239 + ... + 432794299545.
It is an arithmetic number, because the mean of its divisors is an integer number (239042109600).
Almost surely, 2132867849913344 is an apocalyptic number.
132867849913344 is a gapful number since it is divisible by the number (14) 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 132867849913344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252428467737600).
132867849913344 is an abundant number, since it is smaller than the sum of its proper divisors (371989085561856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132867849913344 is a wasteful number, since it uses less digits than its factorization.
132867849913344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 597 (or 542 counting only the distinct ones).
The product of its digits is 752467968, while the sum is 72.
The spelling of 132867849913344 in words is "one hundred thirty-two trillion, eight hundred sixty-seven billion, eight hundred forty-nine million, nine hundred thirteen thousand, three hundred forty-four".
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