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13145421663 = 331159898429
BaseRepresentation
bin11000011111000011…
…10011011101011111
31020221010102121111000
430033201303131133
5203410211443123
610012224001343
7643520145333
oct141741633537
936833377430
1013145421663
11563627a950
12266a460253
131316559a1a
148c9bc17c3
1551e0c9b43
hex30f87375f

13145421663 has 64 divisors (see below), whose sum is σ = 21850560000. Its totient is φ = 7742972160.

The previous prime is 13145421623. The next prime is 13145421721. The reversal of 13145421663 is 36612454131.

13145421663 is a `hidden beast` number, since 131 + 45 + 421 + 6 + 63 = 666.

It is not a de Polignac number, because 13145421663 - 29 = 13145421151 is a prime.

It is a super-2 number, since 2×131454216632 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13145421623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1555333 + ... + 1563761.

It is an arithmetic number, because the mean of its divisors is an integer number (341415000).

Almost surely, 213145421663 is an apocalyptic number.

13145421663 is a deficient number, since it is larger than the sum of its proper divisors (8705138337).

13145421663 is a wasteful number, since it uses less digits than its factorization.

13145421663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8597 (or 8591 counting only the distinct ones).

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

Adding to 13145421663 its reverse (36612454131), we get a palindrome (49757875794).

The spelling of 13145421663 in words is "thirteen billion, one hundred forty-five million, four hundred twenty-one thousand, six hundred sixty-three".

Divisors: 1 3 9 11 27 33 59 89 99 177 267 297 531 649 801 979 1593 1947 2403 2937 5251 5841 8429 8811 15753 17523 25287 26433 47259 57761 75861 92719 141777 173283 227583 278157 497311 519849 750181 834471 1491933 1559547 2250543 2503413 4475799 5470421 6751629 8251991 13427397 16411263 20254887 24755973 44260679 49233789 74267919 132782037 147701367 222803757 398346111 486867469 1195038333 1460602407 4381807221 13145421663