| Base | Representation |
|---|---|
| bin | 10111010110011011011001… |
| … | …101110000001000000000000 |
| 3 | 111110121200011011112022201000 |
| 4 | 113112123121232001000000 |
| 5 | 101430034031104002302 |
| 6 | 1002230012150212000 |
| 7 | 30426364364406054 |
| oct | 2726333156010000 |
| 9 | 443550134468630 |
| 10 | 102696320765952 |
| 11 | 2a7a42a086a661 |
| 12 | b62729a054000 |
| 13 | 453c2b5814584 |
| 14 | 1b507580adc64 |
| 15 | bd157884131c |
| hex | 5d66d9b81000 |
102696320765952 has 832 divisors, whose sum is σ = 325819391016960. Its totient is φ = 31852916637696.
The previous prime is 102696320765933. The next prime is 102696320765953. The reversal of 102696320765952 is 259567023696201.
It is a happy number.
102696320765952 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 9 + 6 + 32 + 0 + 7 + 6 + 595 + 2 = 666.
It is a super-3 number, since 3×1026963207659523 (a number of 43 digits) contains 333 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 102696320765952.
It is not an unprimeable number, because it can be changed into a prime (102696320765953) 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 63 ways as a sum of consecutive naturals, for example, 91448192463 + ... + 91448193585.
Almost surely, 2102696320765952 is an apocalyptic number.
102696320765952 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 102696320765952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162909695508480).
102696320765952 is an abundant number, since it is smaller than the sum of its proper divisors (223123070251008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102696320765952 is a wasteful number, since it uses less digits than its factorization.
102696320765952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1683 (or 1655 counting only the distinct ones).
The product of its (nonzero) digits is 73483200, while the sum is 63.
The spelling of 102696320765952 in words is "one hundred two trillion, six hundred ninety-six billion, three hundred twenty million, seven hundred sixty-five thousand, nine hundred fifty-two".
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