| Base | Representation |
|---|---|
| bin | 11110000100011011010101… |
| … | …111100110110111000000000 |
| 3 | 122100020120002111211020220000 |
| 4 | 132010123111330312320000 |
| 5 | 114313203023412404011 |
| 6 | 1145132445504520000 |
| 7 | 36566301025324260 |
| oct | 3604332574667000 |
| 9 | 570216074736800 |
| 10 | 132245632544256 |
| 11 | 3915706aa31100 |
| 12 | 129ba10a920000 |
| 13 | 58a392c0cb4aa |
| 14 | 2492a193b77a0 |
| 15 | 104502bc34356 |
| hex | 7846d5f36e00 |
132245632544256 has 2400 divisors, whose sum is σ = 517379825571840. Its totient is φ = 32878669824000.
The previous prime is 132245632544251. The next prime is 132245632544261. The reversal of 132245632544256 is 652445236542231.
It is a happy number.
132245632544256 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 4 + 563 + 2 + 54 + 4 + 25 + 6 = 666.
It is an interprime number because it is at equal distance from previous prime (132245632544251) and next prime (132245632544261).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132245632544251) 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 239 ways as a sum of consecutive naturals, for example, 133446651921 + ... + 133446652911.
Almost surely, 2132245632544256 is an apocalyptic number.
132245632544256 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 132245632544256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258689912785920).
132245632544256 is an abundant number, since it is smaller than the sum of its proper divisors (385134193027584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132245632544256 is a wasteful number, since it uses less digits than its factorization.
132245632544256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1210 (or 1174 counting only the distinct ones).
The product of its digits is 41472000, while the sum is 54.
The spelling of 132245632544256 in words is "one hundred thirty-two trillion, two hundred forty-five billion, six hundred thirty-two million, five hundred forty-four thousand, two hundred fifty-six".
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