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13563302563664 = 247217300130821
BaseRepresentation
bin1100010101011111001111…
…0101001100111101010000
31210000122020212122122220222
43011113303311030331100
53234210120424014124
644502521205252212
72566626165366200
oct305276365147520
953018225578828
1013563302563664
11435a189780207
1216307aa704068
13775024832549
1434c678584400
15187c2c92a25e
hexc55f3d4cf50

13563302563664 has 30 divisors (see below), whose sum is σ = 30569331162474. Its totient is φ = 5812843955520.

The previous prime is 13563302563639. The next prime is 13563302563739. The reversal of 13563302563664 is 46636520336531.

It can be written as a sum of positive squares in only one way, i.e., 8758403491600 + 4804899072064 = 2959460^2 + 2192008^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8650064627 + ... + 8650066194.

Almost surely, 213563302563664 is an apocalyptic number.

13563302563664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13563302563664 is an abundant number, since it is smaller than the sum of its proper divisors (17006028598810).

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

13563302563664 is a wasteful number, since it uses less digits than its factorization.

13563302563664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17300130843 (or 17300130830 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 53.

The spelling of 13563302563664 in words is "thirteen trillion, five hundred sixty-three billion, three hundred two million, five hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 17300130821 34600261642 69200523284 121100915747 138401046568 242201831494 276802093136 484403662988 847706410229 968807325976 1695412820458 1937614651952 3390825640916 6781651281832 13563302563664