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13580453601 = 3411131172447
BaseRepresentation
bin11001010010111010…
…10100011011100001
31022001110000112010000
430221131110123201
5210303044003401
610123324130213
7660351644121
oct145135243341
938043015100
1013580453601
1158398a2880
122770096969
131385715780
1492b8a4c81
155473ad186
hex3297546e1

13580453601 has 40 divisors (see below), whose sum is σ = 23833522944. Its totient is φ = 7597450080.

The previous prime is 13580453591. The next prime is 13580453617. The reversal of 13580453601 is 10635408531.

13580453601 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 0 + 45 + 3 + 601 = 666.

13580453601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13580453601 - 27 = 13580453473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13580453641) 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 39 ways as a sum of consecutive naturals, for example, 574641 + ... + 597806.

Almost surely, 213580453601 is an apocalyptic number.

13580453601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13580453601 is a deficient number, since it is larger than the sum of its proper divisors (10253069343).

13580453601 is a wasteful number, since it uses less digits than its factorization.

13580453601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172483 (or 1172474 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 13580453601 in words is "thirteen billion, five hundred eighty million, four hundred fifty-three thousand, six hundred one".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 297 351 429 891 1053 1287 3861 11583 1172447 3517341 10552023 12896917 15241811 31656069 38690751 45725433 94968207 116072253 137176299 167659921 348216759 411528897 502979763 1044650277 1234586691 1508939289 4526817867 13580453601