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13665142148 = 2272119358441
BaseRepresentation
bin11001011101000000…
…11000010110000100
31022021100101010221212
430232200120112010
5210441234022043
610135551230552
7662430535400
oct145640302604
938240333855
1013665142148
115882686609
122794518458
13139a127c38
14938c2c100
1554ea3b018
hex32e818584

13665142148 has 36 divisors (see below), whose sum is σ = 27842119452. Its totient is φ = 5851480320.

The previous prime is 13665142091. The next prime is 13665142187. The reversal of 13665142148 is 84124156631.

It can be written as a sum of positive squares in 2 ways, for example, as 10453426564 + 3211715584 = 102242^2 + 56672^2 .

It is a super-2 number, since 2×136651421482 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204608 + ... + 263048.

It is an arithmetic number, because the mean of its divisors is an integer number (773392207).

Almost surely, 213665142148 is an apocalyptic number.

It is an amenable number.

13665142148 is an abundant number, since it is smaller than the sum of its proper divisors (14176977304).

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

13665142148 is a wasteful number, since it uses less digits than its factorization.

13665142148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59652 (or 59643 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

Adding to 13665142148 its reverse (84124156631), we get a palindrome (97789298779).

The spelling of 13665142148 in words is "thirteen billion, six hundred sixty-five million, one hundred forty-two thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 1193 2386 4772 8351 16702 33404 58441 58457 116882 116914 233764 233828 409087 818174 1636348 2863609 5727218 11454436 69720113 139440226 278880452 488040791 976081582 1952163164 3416285537 6832571074 13665142148