| Base | Representation |
|---|---|
| bin | 11110000101011000011101… |
| … | …000011000011100000000000 |
| 3 | 122100110211110111101022001000 |
| 4 | 132011120131003003200000 |
| 5 | 114320241414431014413 |
| 6 | 1145222540555412000 |
| 7 | 36604113054316500 |
| oct | 3605303503034000 |
| 9 | 570424414338030 |
| 10 | 132311249860608 |
| 11 | 39181982221075 |
| 12 | 12a0a981a54000 |
| 13 | 58a9b885668c0 |
| 14 | 2495c81d01a00 |
| 15 | 1046abc6cc073 |
| hex | 78561d0c3800 |
132311249860608 has 1152 divisors, whose sum is σ = 491896903680000. Its totient is φ = 34831463546880.
The previous prime is 132311249860571. The next prime is 132311249860633. The reversal of 132311249860608 is 806068942113231.
It is a happy number.
132311249860608 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 1 + 1 + 24 + 9 + 8 + 6 + 0 + 608 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21098904513 + ... + 21098910783.
It is an arithmetic number, because the mean of its divisors is an integer number (426993840000).
Almost surely, 2132311249860608 is an apocalyptic number.
132311249860608 is a gapful number since it is divisible by the number (18) 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 132311249860608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245948451840000).
132311249860608 is an abundant number, since it is smaller than the sum of its proper divisors (359585653819392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132311249860608 is a wasteful number, since it uses less digits than its factorization.
132311249860608 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6928 (or 6895 counting only the distinct ones).
The product of its (nonzero) digits is 2985984, while the sum is 54.
The spelling of 132311249860608 in words is "one hundred thirty-two trillion, three hundred eleven billion, two hundred forty-nine million, eight hundred sixty thousand, six hundred eight".
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