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13460682708 = 2235118811429
BaseRepresentation
bin11001000100101000…
…11011011111010100
31021202002122112100000
430202110123133110
5210031413321313
610103405051300
7654365625624
oct144224333724
937662575300
1013460682708
115788228170
122737b56b30
13136696bc15
14919a08884
1553bb00673
hex32251b7d4

13460682708 has 144 divisors (see below), whose sum is σ = 38564285760. Its totient is φ = 4071513600.

The previous prime is 13460682661. The next prime is 13460682709. The reversal of 13460682708 is 80728606431.

13460682708 is a `hidden beast` number, since 1 + 34 + 606 + 8 + 2 + 7 + 0 + 8 = 666.

13460682708 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13460682709) 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 47 ways as a sum of consecutive naturals, for example, 9418938 + ... + 9420366.

It is an arithmetic number, because the mean of its divisors is an integer number (267807540).

Almost surely, 213460682708 is an apocalyptic number.

13460682708 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13460682708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19282142880).

13460682708 is an abundant number, since it is smaller than the sum of its proper divisors (25103603052).

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

13460682708 is a wasteful number, since it uses less digits than its factorization.

13460682708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 13460682708 in words is "thirteen billion, four hundred sixty million, six hundred eighty-two thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 881 891 972 1188 1429 1762 1782 2643 2673 2858 3524 3564 4287 5286 5346 5716 7929 8574 9691 10572 10692 12861 15719 15858 17148 19382 23787 25722 29073 31438 31716 38583 38764 47157 47574 51444 58146 62876 71361 77166 87219 94314 95148 115749 116292 141471 142722 154332 174438 188628 214083 231498 261657 282942 285444 347247 348876 424413 428166 462996 523314 565884 694494 784971 848826 856332 1046628 1258949 1273239 1388988 1569942 1697652 2354913 2517898 2546478 3139884 3776847 3819717 4709826 5035796 5092956 7553694 7639434 9419652 11330541 13848439 15107388 15278868 22661082 27696878 33991623 41545317 45322164 55393756 67983246 83090634 101974869 124635951 135966492 166181268 203949738 249271902 305924607 373907853 407899476 498543804 611849214 747815706 1121723559 1223698428 1495631412 2243447118 3365170677 4486894236 6730341354 13460682708