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792080420121 = 322966632
BaseRepresentation
bin10111000011010111010…
…11000000110100011001
32210201111110001101202100
423201223223000310121
5100434140041420441
61403513212154013
7111140330324604
oct13415353006431
92721443041670
10792080420121
11285a12825161
12109616168909
13599012b2c33
142a4a063333b
151590cdcecb6
hexb86bac0d19

792080420121 has 9 divisors (see below), whose sum is σ = 1144120019029. Its totient is φ = 528051833436.

The previous prime is 792080420101. The next prime is 792080420137. The reversal of 792080420121 is 121024080297.

The square root of 792080420121 is 889989.

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

792080420121 is a `hidden beast` number, since 7 + 9 + 208 + 0 + 420 + 1 + 21 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 792080420121 - 29 = 792080419609 is a prime.

It is a super-3 number, since 3×7920804201213 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (792080420101) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2521636 + ... + 2818298.

Almost surely, 2792080420121 is an apocalyptic number.

792080420121 is the 889989-th square number.

792080420121 is the 444995-th centered octagonal number.

It is an amenable number.

792080420121 is a deficient number, since it is larger than the sum of its proper divisors (352039598908).

792080420121 is an frugal number, since it uses more digits than its factorization.

792080420121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593332 (or 296666 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 792080420121 by its sum of digits (36), we get a square (28514895124356 = 53399342).

It can be divided in two parts, 792080 and 420121, that added together give a square (1212201 = 11012).

The spelling of 792080420121 in words is "seven hundred ninety-two billion, eighty million, four hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 296663 889989 2669967 88008935569 264026806707 792080420121