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13409893296 = 2432109854351
BaseRepresentation
bin11000111110100101…
…01011101110110000
31021121120002011100200
430133102223232300
5204430413041141
610054352315200
7653211132552
oct143722535660
937546064320
1013409893296
115761598348
122722b42b00
131359298407
14912d874d2
1553741bab6
hex31f4abbb0

13409893296 has 60 divisors (see below), whose sum is σ = 37873424160. Its totient is φ = 4428950400.

The previous prime is 13409893291. The next prime is 13409893307. The reversal of 13409893296 is 69239890431.

13409893296 is a `hidden beast` number, since 1 + 340 + 9 + 8 + 9 + 3 + 296 = 666.

It is not an unprimeable number, because it can be changed into a prime (13409893291) 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 11 ways as a sum of consecutive naturals, for example, 411480 + ... + 442871.

It is an arithmetic number, because the mean of its divisors is an integer number (631223736).

Almost surely, 213409893296 is an apocalyptic number.

13409893296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13409893296 is an abundant number, since it is smaller than the sum of its proper divisors (24463530864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13409893296 is a wasteful number, since it uses less digits than its factorization.

13409893296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854474 (or 854465 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 13409893296 in words is "thirteen billion, four hundred nine million, eight hundred ninety-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 327 436 654 872 981 1308 1744 1962 2616 3924 5232 7848 15696 854351 1708702 2563053 3417404 5126106 6834808 7689159 10252212 13669616 15378318 20504424 30756636 41008848 61513272 93124259 123026544 186248518 279372777 372497036 558745554 744994072 838118331 1117491108 1489988144 1676236662 2234982216 3352473324 4469964432 6704946648 13409893296