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790232242232097 = 33767191326726809
BaseRepresentation
bin1011001110101101100100100…
…0000101101001101100100001
310211121222110112200000202112000
42303223121020011221230201
51312034131113002411342
611440403402545554213
7325310252430505140
oct26353311005515441
93747873480022460
10790232242232097
11209879680478685
1274768377045969
1327bc2771a216b2
14dd1d631da1757
156155b4a17744c
hex2ceb648169b21

790232242232097 has 64 divisors (see below), whose sum is σ = 1365038474035200. Its totient is φ = 442492650610560.

The previous prime is 790232242232063. The next prime is 790232242232099.

790232242232097 is a `hidden beast` number, since 7 + 9 + 0 + 2 + 3 + 2 + 2 + 422 + 3 + 209 + 7 = 666.

790232242232097 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 790232242232097 - 210 = 790232242231073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (790232242232099) 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 63 ways as a sum of consecutive naturals, for example, 160944772 + ... + 165782037.

It is an arithmetic number, because the mean of its divisors is an integer number (21328726156800).

Almost surely, 2790232242232097 is an apocalyptic number.

It is an amenable number.

790232242232097 is a deficient number, since it is larger than the sum of its proper divisors (574806231803103).

790232242232097 is a wasteful number, since it uses less digits than its factorization.

790232242232097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326727083 (or 326727077 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 790232242232097 in words is "seven hundred ninety trillion, two hundred thirty-two billion, two hundred forty-two million, two hundred thirty-two thousand, ninety-seven".

Divisors: 1 3 7 9 21 27 63 67 189 191 201 469 573 603 1337 1407 1719 1809 4011 4221 5157 12033 12663 12797 36099 38391 89579 115173 268737 345519 806211 2418633 326726809 980180427 2287087663 2940541281 6861262989 8821623843 20583788967 21890696203 61751366901 62404820519 65672088609 153234873421 187214461557 197016265827 436833743633 459704620263 561643384671 591048797481 1310501230899 1379113860789 1684930154013 3931503692697 4137341582367 4181122974773 11794511078091 12543368924319 29267860823411 37630106772957 87803582470233 112890320318871 263410747410699 790232242232097