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823990092121 = 72103212592
BaseRepresentation
bin10111111110110011010…
…00110000000101011001
32220202212021201200122001
423333121220300011121
5102000012430421441
61430311423201001
7113350146135400
oct13773150600531
92822767650561
10823990092121
112984a7a20009
12113840746161
135c9181b7061
142bc4a542637
15166794c7731
hexbfd9a30159

823990092121 has 27 divisors (see below), whose sum is σ = 968684854581. Its totient is φ = 698864625144.

The previous prime is 823990092073. The next prime is 823990092151. The reversal of 823990092121 is 121290099328.

The square root of 823990092121 is 907739.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 823990092121 - 27 = 823990091993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (823990092151) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 654479190 + ... + 654480448.

Almost surely, 2823990092121 is an apocalyptic number.

823990092121 is the 907739-th square number.

823990092121 is the 453870-th centered octagonal number.

It is an amenable number.

823990092121 is a deficient number, since it is larger than the sum of its proper divisors (144694762460).

823990092121 is an frugal number, since it uses more digits than its factorization.

823990092121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The spelling of 823990092121 in words is "eight hundred twenty-three billion, nine hundred ninety million, ninety-two thousand, one hundred twenty-one".

Divisors: 1 7 49 103 721 1259 5047 8813 10609 61691 74263 129677 519841 907739 1585081 6354173 11095567 13356731 77668969 93497117 163263343 654479819 1142843401 7999903807 16816124329 117712870303 823990092121