| Base | Representation |
|---|---|
| bin | 10100101011011100000010… |
| … | …110111110101111100000000 |
| 3 | 102221000100110202122020011000 |
| 4 | 110223130002313311330000 |
| 5 | 43410024332023423310 |
| 6 | 521232001242452000 |
| 7 | 25104426116603562 |
| oct | 2453340267657400 |
| 9 | 387010422566130 |
| 10 | 90945980686080 |
| 11 | 26a83a7915aa63 |
| 12 | a249b34b04000 |
| 13 | 3b992278c1aa0 |
| 14 | 1865b47a99332 |
| 15 | a7aaa89604c0 |
| hex | 52b702df5f00 |
90945980686080 has 1152 divisors, whose sum is σ = 368313674400000. Its totient is φ = 21087434833920.
The previous prime is 90945980686009. The next prime is 90945980686087. The reversal of 90945980686080 is 8068608954909.
90945980686080 is a `hidden beast` number, since 9 + 0 + 9 + 4 + 5 + 9 + 8 + 0 + 6 + 8 + 608 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (90945980686087) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 534108796 + ... + 534279044.
It is an arithmetic number, because the mean of its divisors is an integer number (319716731250).
Almost surely, 290945980686080 is an apocalyptic number.
90945980686080 is a gapful number since it is divisible by the number (90) 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 90945980686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184156837200000).
90945980686080 is an abundant number, since it is smaller than the sum of its proper divisors (277367693713920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90945980686080 is a wasteful number, since it uses less digits than its factorization.
90945980686080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 170362 (or 170342 counting only the distinct ones).
The product of its (nonzero) digits is 268738560, while the sum is 72.
The spelling of 90945980686080 in words is "ninety trillion, nine hundred forty-five billion, nine hundred eighty million, six hundred eighty-six thousand, eighty".
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