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604124245341 = 322989193134753
BaseRepresentation
bin10001100101010001001…
…11000110110101011101
32010202100110100102111200
420302220213012311131
534344221301322331
61141310355110113
761434522233631
oct10625047066535
92122313312450
10604124245341
11213231429121
12990bbba2339
1344c79231276
142134dcdadc1
1510aabe865e6
hex8ca89c6d5d

604124245341 has 48 divisors (see below), whose sum is σ = 917593887600. Its totient is φ = 382497325056.

The previous prime is 604124245301. The next prime is 604124245357. The reversal of 604124245341 is 143542421406.

604124245341 is a `hidden beast` number, since 60 + 4 + 12 + 4 + 245 + 341 = 666.

604124245341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4035425625 + 600088819716 = 63525^2 + 774654^2 .

It is not a de Polignac number, because 604124245341 - 213 = 604124237149 is a prime.

It is a super-2 number, since 2×6041242453412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 604124245296 and 604124245305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (604124245301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4415821 + ... + 4550573.

It is an arithmetic number, because the mean of its divisors is an integer number (19116539325).

Almost surely, 2604124245341 is an apocalyptic number.

It is an amenable number.

604124245341 is a deficient number, since it is larger than the sum of its proper divisors (313469642259).

604124245341 is a wasteful number, since it uses less digits than its factorization.

604124245341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135070 (or 135067 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 604124245341 its reverse (143542421406), we get a palindrome (747666666747).

The spelling of 604124245341 in words is "six hundred four billion, one hundred twenty-four million, two hundred forty-five thousand, three hundred forty-one".

Divisors: 1 3 9 29 87 89 193 261 267 579 801 1737 2581 5597 7743 16791 17177 23229 50373 51531 134753 154593 404259 498133 1212777 1494399 3907837 4483197 11723511 11993017 26007329 35170533 35979051 78021987 107937153 234065961 347797493 754212541 1043392479 2262637623 2314652281 3130177437 6787912869 6943956843 20831870529 67124916149 201374748447 604124245341