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230728107365847 = 32713523538660231
BaseRepresentation
bin110100011101100010010010…
…111000010001010111010111
31010020221101120111210100012100
4310131202102320101113113
5220220222130441201342
62134415010152253143
766412361406345420
oct6435422270212727
91106841514710170
10230728107365847
11675762715a1a73
1221a647a03a11b3
139b9874b0a8190
1440d942b212647
151ba1b7a7e3e4c
hexd1d892e115d7

230728107365847 has 48 divisors (see below), whose sum is σ = 410967592043008. Its totient is φ = 121470036505920.

The previous prime is 230728107365761. The next prime is 230728107365849. The reversal of 230728107365847 is 748563701827032.

It is a happy number.

230728107365847 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 2 + 8 + 10 + 7 + 36 + 584 + 7 = 666.

230728107365847 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230728107365847 - 27 = 230728107365719 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230728107365849) 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, 268901779 + ... + 269758452.

Almost surely, 2230728107365847 is an apocalyptic number.

230728107365847 is a deficient number, since it is larger than the sum of its proper divisors (180239484677161).

230728107365847 is a wasteful number, since it uses less digits than its factorization.

230728107365847 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538660780 (or 538660777 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 230728107365847 in words is "two hundred thirty trillion, seven hundred twenty-eight billion, one hundred seven million, three hundred sixty-five thousand, eight hundred forty-seven".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 523 819 1569 3661 4707 6799 10983 20397 32949 47593 61191 142779 428337 538660231 1615980693 3770621617 4847942079 7002583003 11311864851 21007749009 33935594553 49018081021 63023247027 147054243063 281719300813 441162729189 845157902439 1972035105691 2535473707317 3662350910569 5916105317073 10987052731707 17748315951219 25636456373983 32961158195121 76909369121949 230728107365847