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13662560241 = 3211225748817
BaseRepresentation
bin11001011100101101…
…00001111111110001
31022021011111222020200
430232112201333301
5210440103411431
610135420025413
7662366563101
oct145626417761
938234458220
1013662560241
115881182800
122793692269
131399732995
14938759201
1554e6caee6
hex32e5a1ff1

13662560241 has 36 divisors (see below), whose sum is σ = 21776831076. Its totient is φ = 8247951360.

The previous prime is 13662560231. The next prime is 13662560287. The reversal of 13662560241 is 14206526631.

13662560241 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 2 + 5 + 602 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10384425216 + 3278135025 = 101904^2 + 57255^2 .

It is not a de Polignac number, because 13662560241 - 25 = 13662560209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13662560196 and 13662560205.

It is not an unprimeable number, because it can be changed into a prime (13662560231) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 255465 + ... + 304281.

Almost surely, 213662560241 is an apocalyptic number.

13662560241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13662560241 is a deficient number, since it is larger than the sum of its proper divisors (8114270835).

13662560241 is a wasteful number, since it uses less digits than its factorization.

13662560241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49102 (or 49088 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13662560241 in words is "thirteen billion, six hundred sixty-two million, five hundred sixty thousand, two hundred forty-one".

Divisors: 1 3 9 11 33 99 121 257 363 771 1089 2313 2827 8481 25443 31097 48817 93291 146451 279873 439353 536987 1610961 4832883 5906857 12545969 17720571 37637907 53161713 112913721 138005659 414016977 1242050931 1518062249 4554186747 13662560241