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834295742293 = 13514992
BaseRepresentation
bin11000010001111111110…
…01101011111101010101
32221202110111121221222011
430020333321223331111
5102132114202223133
61435134205104221
7114163424541616
oct14107771537525
92852414557864
10834295742293
112a1906218572
12115837b58071
136089b300000
142c547109c0d
1516a7e10d6cd
hexc23fe6bf55

834295742293 has 18 divisors (see below), whose sum is σ = 904423551234. Its totient is φ = 769605391464.

The previous prime is 834295742239. The next prime is 834295742303. The reversal of 834295742293 is 392247592438.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 800851379409 + 33444362884 = 894903^2 + 182878^2 .

It is not a de Polignac number, because 834295742293 - 233 = 825705807701 is a prime.

It is a Duffinian number.

Its product of digits (26127360) is a multiple of the sum of its prime divisors (1512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834295742393) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 556567458 + ... + 556568956.

Almost surely, 2834295742293 is an apocalyptic number.

It is an amenable number.

834295742293 is a deficient number, since it is larger than the sum of its proper divisors (70127808941).

834295742293 is an frugal number, since it uses more digits than its factorization.

834295742293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 1512 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 58.

The spelling of 834295742293 in words is "eight hundred thirty-four billion, two hundred ninety-five million, seven hundred forty-two thousand, two hundred ninety-three".

Divisors: 1 13 169 1499 2197 19487 28561 253331 371293 2247001 3293303 29211013 42812939 379743169 556568207 4936661197 64176595561 834295742293