Base | Representation |
---|---|
bin | 10100111010011111101010… |
… | …100110011100011010000000 |
3 | 110001200021011101102022120200 |
4 | 110322133222212130122000 |
5 | 44024002343102341313 |
6 | 523343155424005200 |
7 | 25242245341641045 |
oct | 2472375246343200 |
9 | 401607141368520 |
10 | 91980660590208 |
11 | 27342862a77145 |
12 | a396575160800 |
13 | 3c4297b998550 |
14 | 189dc5dcc71cc |
15 | a97964ac8b73 |
hex | 53a7ea99c680 |
91980660590208 has 384 divisors, whose sum is σ = 300069779143680. Its totient is φ = 26831651438592.
The previous prime is 91980660590207. The next prime is 91980660590209. The reversal of 91980660590208 is 80209506608919.
91980660590208 is a `hidden beast` number, since 9 + 19 + 8 + 0 + 6 + 6 + 0 + 590 + 20 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (91980660590207) and next prime (91980660590209).
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×919806605902082 (a number of 29 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (91980660590201) 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 47 ways as a sum of consecutive naturals, for example, 37741041 + ... + 40104207.
It is an arithmetic number, because the mean of its divisors is an integer number (781431716520).
Almost surely, 291980660590208 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 91980660590208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150034889571840).
91980660590208 is an abundant number, since it is smaller than the sum of its proper divisors (208089118553472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
91980660590208 is a wasteful number, since it uses less digits than its factorization.
91980660590208 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2363336 (or 2363321 counting only the distinct ones).
The product of its (nonzero) digits is 16796160, while the sum is 63.
The spelling of 91980660590208 in words is "ninety-one trillion, nine hundred eighty billion, six hundred sixty million, five hundred ninety thousand, two hundred eight".
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