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832044348993 = 311135360160889
BaseRepresentation
bin11000001101110011011…
…01010011011001000001
32221112122121020022222010
430012321231103121001
5102113011323131433
61434122542003133
7114053556163014
oct14067155233101
92845577208863
10832044348993
112a0960386450
12115309b764a9
13605cca46020
142c3b20d137b
151699b63de63
hexc1b9b53641

832044348993 has 64 divisors (see below), whose sum is σ = 1330164944640. Its totient is φ = 455929344000.

The previous prime is 832044348913. The next prime is 832044349007. The reversal of 832044348993 is 399843440238.

It is not a de Polignac number, because 832044348993 - 224 = 832027571777 is a prime.

It is a super-2 number, since 2×8320443489932 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (832044348913) 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 63 ways as a sum of consecutive naturals, for example, 13634493 + ... + 13695381.

It is an arithmetic number, because the mean of its divisors is an integer number (20783827260).

Almost surely, 2832044348993 is an apocalyptic number.

It is an amenable number.

832044348993 is a deficient number, since it is larger than the sum of its proper divisors (498120595647).

832044348993 is a wasteful number, since it uses less digits than its factorization.

832044348993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61570.

The product of its (nonzero) digits is 17915904, while the sum is 57.

The spelling of 832044348993 in words is "eight hundred thirty-two billion, forty-four million, three hundred forty-eight thousand, nine hundred ninety-three".

Divisors: 1 3 11 13 33 39 53 143 159 429 583 601 689 1749 1803 2067 6611 7579 7813 19833 22737 23439 31853 60889 85943 95559 182667 257829 350383 414089 669779 791557 1051149 1242267 2009337 2374671 3227117 4554979 8707127 9681351 13664937 26121381 35498287 36594289 41952521 106494861 109782867 125857563 402537179 461477731 475725757 1207611537 1384433193 1427177271 1939497317 5232983327 5818491951 15698949981 21334470487 25213465121 64003411461 75640395363 277348116331 832044348993