| Base | Representation |
|---|---|
| bin | 1001010001000101011011… |
| … | …1100011110100110000000 |
| 3 | 1100002001220100222121101000 |
| 4 | 2110101112330132212000 |
| 5 | 2313414310001330030 |
| 6 | 33400452335012000 |
| 7 | 2101065630345000 |
| oct | 224212674364600 |
| 9 | 40061810877330 |
| 10 | 10189121120640 |
| 11 | 3279200274130 |
| 12 | 118687806a000 |
| 13 | 58baa367a077 |
| 14 | 27322846c000 |
| 15 | 12a0982a0860 |
| hex | 94456f1e980 |
10189121120640 has 4096 divisors, whose sum is σ = 50444467200000. Its totient is φ = 1917895311360.
The previous prime is 10189121120639. The next prime is 10189121120681. The reversal of 10189121120640 is 4602112198101.
10189121120640 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 9 + 1 + 2 + 1 + 1 + 2 + 0 + 640 = 666.
It is a super-2 number, since 2×101891211206402 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 10189121120595 and 10189121120604.
It is a congruent number.
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 511 ways as a sum of consecutive naturals, for example, 32142337762 + ... + 32142338078.
It is an arithmetic number, because the mean of its divisors is an integer number (12315543750).
Almost surely, 210189121120640 is an apocalyptic number.
10189121120640 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 10189121120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25222233600000).
10189121120640 is an abundant number, since it is smaller than the sum of its proper divisors (40255346079360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10189121120640 is a wasteful number, since it uses less digits than its factorization.
10189121120640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 423 (or 391 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 36.
The spelling of 10189121120640 in words is "ten trillion, one hundred eighty-nine billion, one hundred twenty-one million, one hundred twenty thousand, six hundred forty".
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