| Base | Representation |
|---|---|
| bin | 1001101110001100001000… |
| … | …1010010101011101000000 |
| 3 | 1101211212112021102110011000 |
| 4 | 2123203002022111131000 |
| 5 | 2400112322321343124 |
| 6 | 34422304335452000 |
| 7 | 2152156520623200 |
| oct | 233430212253500 |
| 9 | 41755467373130 |
| 10 | 10689136121664 |
| 11 | 3451267748070 |
| 12 | 1247762087000 |
| 13 | 5c6c9a94aa90 |
| 14 | 28d4dd678400 |
| 15 | 1380b03986c9 |
| hex | 9b8c2295740 |
10689136121664 has 2688 divisors, whose sum is σ = 45308569743360. Its totient is φ = 2424386764800.
The previous prime is 10689136121617. The next prime is 10689136121693. The reversal of 10689136121664 is 46612163198601.
10689136121664 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 9 + 1 + 3 + 612 + 16 + 6 + 4 = 666.
It is a super-3 number, since 3×106891361216643 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 10689136121664.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 36481693102 + ... + 36481693394.
It is an arithmetic number, because the mean of its divisors is an integer number (16855866720).
Almost surely, 210689136121664 is an apocalyptic number.
10689136121664 is a gapful number since it is divisible by the number (14) 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 10689136121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22654284871680).
10689136121664 is an abundant number, since it is smaller than the sum of its proper divisors (34619433621696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10689136121664 is a wasteful number, since it uses less digits than its factorization.
10689136121664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 506 (or 483 counting only the distinct ones).
The product of its (nonzero) digits is 2239488, while the sum is 54.
The spelling of 10689136121664 in words is "ten trillion, six hundred eighty-nine billion, one hundred thirty-six million, one hundred twenty-one thousand, six hundred sixty-four".
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