| Base | Representation |
|---|---|
| bin | 101010000000100000… |
| … | …0001010011111000000 |
| 3 | 22121211222011101200000 |
| 4 | 1110001000022133000 |
| 5 | 2434223022232001 |
| 6 | 105235321400000 |
| 7 | 6342341660520 |
| oct | 1240100123700 |
| 9 | 277758141600 |
| 10 | 90211133376 |
| 11 | 35292918791 |
| 12 | 15597639000 |
| 13 | 86787a6c80 |
| 14 | 451ad7b680 |
| 15 | 252eb84a86 |
| hex | 150100a7c0 |
90211133376 has 336 divisors, whose sum is σ = 330036854784. Its totient is φ = 23791574016.
The previous prime is 90211133371. The next prime is 90211133387. The reversal of 90211133376 is 67333111209.
It is a tau number, because it is divible by the number of its divisors (336).
It is a super-2 number, since 2×902111333762 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 90211133376.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (90211133371) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1383361 + ... + 1447103.
It is an arithmetic number, because the mean of its divisors is an integer number (982252544).
Almost surely, 290211133376 is an apocalyptic number.
90211133376 is a gapful number since it is divisible by the number (96) 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 90211133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165018427392).
90211133376 is an abundant number, since it is smaller than the sum of its proper divisors (239825721408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90211133376 is a wasteful number, since it uses less digits than its factorization.
90211133376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 63790 (or 63768 counting only the distinct ones).
The product of its (nonzero) digits is 20412, while the sum is 36.
The spelling of 90211133376 in words is "ninety billion, two hundred eleven million, one hundred thirty-three thousand, three hundred seventy-six".
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