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13409219772 = 22321328652179
BaseRepresentation
bin11000111110100000…
…00111010010111100
31021121111210221110100
430133100013102330
5204430230013042
610054330041100
7653202326124
oct143720072274
937544727410
1013409219772
115761178313
122722879190
1313590c0990
14912c4dc84
1553733724c
hex31f4074bc

13409219772 has 36 divisors (see below), whose sum is σ = 36502877320. Its totient is φ = 4125913632.

The previous prime is 13409219753. The next prime is 13409219779. The reversal of 13409219772 is 27791290431.

13409219772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13409219779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14325622 + ... + 14326557.

Almost surely, 213409219772 is an apocalyptic number.

13409219772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13409219772 is an abundant number, since it is smaller than the sum of its proper divisors (23093657548).

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

13409219772 is a wasteful number, since it uses less digits than its factorization.

13409219772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28652202 (or 28652197 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 13409219772 in words is "thirteen billion, four hundred nine million, two hundred nineteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 28652179 57304358 85956537 114608716 171913074 257869611 343826148 372478327 515739222 744956654 1031478444 1117434981 1489913308 2234869962 3352304943 4469739924 6704609886 13409219772