| Base | Representation |
|---|---|
| bin | 10111011101010001100000… |
| … | …111001001000100000000000 |
| 3 | 111112021122101111101110000000 |
| 4 | 113131101200321020200000 |
| 5 | 102010240440422232210 |
| 6 | 1003230051320000000 |
| 7 | 30505356664304112 |
| oct | 2735214071104000 |
| 9 | 445248344343000 |
| 10 | 103166740039680 |
| 11 | 2a965850223639 |
| 12 | b6a24a4600000 |
| 13 | 45747743c9505 |
| 14 | 1b694228293b2 |
| 15 | bdd90c569ac0 |
| hex | 5dd460e48800 |
103166740039680 has 1536 divisors, whose sum is σ = 397131365030400. Its totient is φ = 25626909081600.
The previous prime is 103166740039619. The next prime is 103166740039681. The reversal of 103166740039680 is 86930047661301.
It is a happy number.
103166740039680 is a `hidden beast` number, since 1 + 0 + 3 + 16 + 67 + 400 + 3 + 96 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (1536).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (103166740039681) by changing a digit.
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 127 ways as a sum of consecutive naturals, for example, 38452007619 + ... + 38452010301.
It is an arithmetic number, because the mean of its divisors is an integer number (258549065775).
Almost surely, 2103166740039680 is an apocalyptic number.
103166740039680 is a gapful number since it is divisible by the number (10) 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 103166740039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198565682515200).
103166740039680 is an abundant number, since it is smaller than the sum of its proper divisors (293964624990720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103166740039680 is an equidigital number, since it uses as much as digits as its factorization.
103166740039680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2849 (or 2811 counting only the distinct ones).
The product of its (nonzero) digits is 3919104, while the sum is 54.
The spelling of 103166740039680 in words is "one hundred three trillion, one hundred sixty-six billion, seven hundred forty million, thirty-nine thousand, six hundred eighty".
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