| Base | Representation |
|---|---|
| bin | 11000011111000001010111… |
| … | …101101111000000000000000 |
| 3 | 112010021120112020211011220100 |
| 4 | 120133001113231320000000 |
| 5 | 103103302124233021320 |
| 6 | 1021005431210042400 |
| 7 | 31452656000541105 |
| oct | 3037012755700000 |
| 9 | 463246466734810 |
| 10 | 107684891688960 |
| 11 | 313479a7023443 |
| 12 | 100b2078419400 |
| 13 | 4811845acba91 |
| 14 | 1c83d959b2aac |
| 15 | c6b1e79b9790 |
| hex | 61f057b78000 |
107684891688960 has 1536 divisors, whose sum is σ = 395990919529920. Its totient is φ = 27035040743424.
The previous prime is 107684891688877. The next prime is 107684891688967. The reversal of 107684891688960 is 69886198486701.
107684891688960 is a `hidden beast` number, since 1 + 0 + 7 + 68 + 489 + 16 + 8 + 8 + 9 + 60 = 666.
It is a tau number, because it is divible by the number of its divisors (1536).
It is a self number, because there is not a number n which added to its sum of digits gives 107684891688960.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (107684891688967) by changing a digit.
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 95 ways as a sum of consecutive naturals, for example, 462166917004 + ... + 462166917236.
Almost surely, 2107684891688960 is an apocalyptic number.
107684891688960 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 107684891688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197995459764960).
107684891688960 is an abundant number, since it is smaller than the sum of its proper divisors (288306027840960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107684891688960 is a wasteful number, since it uses less digits than its factorization.
107684891688960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 551 (or 520 counting only the distinct ones).
The product of its (nonzero) digits is 2006581248, while the sum is 81.
The spelling of 107684891688960 in words is "one hundred seven trillion, six hundred eighty-four billion, eight hundred ninety-one million, six hundred eighty-eight thousand, nine hundred sixty".
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