| Base | Representation |
|---|---|
| bin | 11100101110000110011010… |
| … | …001011100100100100000000 |
| 3 | 121120020102122122210002111000 |
| 4 | 130232012122023210210000 |
| 5 | 113024004044130321142 |
| 6 | 1124351304132052000 |
| 7 | 35414555554165620 |
| oct | 3456063213444400 |
| 9 | 546212578702430 |
| 10 | 126313279932672 |
| 11 | 3727a1855a5928 |
| 12 | 12200439a64000 |
| 13 | 55633a297cba1 |
| 14 | 2329849998880 |
| 15 | e90a71a9714c |
| hex | 72e19a2e4900 |
126313279932672 has 2304 divisors, whose sum is σ = 478665497640960. Its totient is φ = 32031247564800.
The previous prime is 126313279932601. The next prime is 126313279932709. The reversal of 126313279932672 is 276239972313621.
126313279932672 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 13 + 279 + 93 + 267 + 2 = 666.
126313279932672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (2304).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 182797799847 + ... + 182797800537.
It is an arithmetic number, because the mean of its divisors is an integer number (207754122240).
Almost surely, 2126313279932672 is an apocalyptic number.
126313279932672 is a gapful number since it is divisible by the number (12) 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 126313279932672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239332748820480).
126313279932672 is an abundant number, since it is smaller than the sum of its proper divisors (352352217708288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126313279932672 is a wasteful number, since it uses less digits than its factorization.
126313279932672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 945 (or 925 counting only the distinct ones).
The product of its digits is 61725888, while the sum is 63.
The spelling of 126313279932672 in words is "one hundred twenty-six trillion, three hundred thirteen billion, two hundred seventy-nine million, nine hundred thirty-two thousand, six hundred seventy-two".
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