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13414821761528 = 23111031480011227
BaseRepresentation
bin1100001100110110000110…
…1011111001000111111000
31202111102222222211101201222
43003031201223321013320
53224242023332332103
644310403430331212
72553121534401215
oct303154153710770
952442888741658
1013414821761528
114302215184990
121607a707b9b08
13764020c37645
143453d0892b0c
15183e3c3d8638
hexc3361af91f8

13414821761528 has 32 divisors (see below), whose sum is σ = 27705810188160. Its totient is φ = 6038445802080.

The previous prime is 13414821761527. The next prime is 13414821761573. The reversal of 13414821761528 is 82516712841431.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13414821761528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414821761527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 739996550 + ... + 740014677.

It is an arithmetic number, because the mean of its divisors is an integer number (865806568380).

Almost surely, 213414821761528 is an apocalyptic number.

It is an amenable number.

13414821761528 is an abundant number, since it is smaller than the sum of its proper divisors (14290988426632).

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

13414821761528 is a wasteful number, since it uses less digits than its factorization.

13414821761528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480011347 (or 1480011343 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 53.

The spelling of 13414821761528 in words is "thirteen trillion, four hundred fourteen billion, eight hundred twenty-one million, seven hundred sixty-one thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 103 206 412 824 1133 2266 4532 9064 1480011227 2960022454 5920044908 11840089816 16280123497 32560246994 65120493988 130240987976 152441156381 304882312762 609764625524 1219529251048 1676852720191 3353705440382 6707410880764 13414821761528