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13144653808 = 24111353611777
BaseRepresentation
bin11000011110111101…
…10111111111110000
31020221001222121011221
430033132313333300
5203410012410213
610012155314424
7643510466566
oct141736677760
936831877157
1013144653808
1156358a5a60
12266a14ba14
13131634b380
148c9a61a36
1551dec738d
hex30f7b7ff0

13144653808 has 160 divisors (see below), whose sum is σ = 31001890752. Its totient is φ = 5319475200.

The previous prime is 13144653779. The next prime is 13144653829. The reversal of 13144653808 is 80835644131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7396216 + ... + 7397992.

Almost surely, 213144653808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13144653808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15500945376).

13144653808 is an abundant number, since it is smaller than the sum of its proper divisors (17857236944).

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

13144653808 is a wasteful number, since it uses less digits than its factorization.

13144653808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 13144653808 in words is "thirteen billion, one hundred forty-four million, six hundred fifty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 53 61 88 104 106 122 143 176 208 212 244 286 424 488 572 583 671 689 793 848 976 1144 1166 1342 1378 1586 1777 2288 2332 2684 2756 3172 3233 3554 4664 5368 5512 6344 6466 7108 7579 8723 9328 10736 11024 12688 12932 14216 15158 17446 19547 23101 25864 28432 30316 34892 35563 39094 42029 46202 51728 60632 69784 71126 78188 84058 92404 94181 108397 121264 139568 142252 156376 168116 184808 188362 216794 254111 284504 312752 336232 369616 376724 433588 462319 508222 569008 672464 753448 867176 924638 1016444 1035991 1192367 1224353 1409161 1506896 1734352 1849276 2032888 2071982 2384734 2448706 2818322 3698552 4065776 4143964 4769468 4897412 5636644 5745041 7397104 8287928 9538936 9794824 11273288 11490082 13467883 15500771 16575856 19077872 19589648 22546576 22980164 26935766 31001542 45960328 53871532 62003084 63195451 74685533 91920656 107743064 124006168 126390902 149371066 215486128 248012336 252781804 298742132 505563608 597484264 821540863 1011127216 1194968528 1643081726 3286163452 6572326904 13144653808