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13146650730 = 2345235771223
BaseRepresentation
bin11000011111001100…
…11111100001101010
31020221012202001110000
430033212133201222
5203411020310410
610012310203430
7643533454533
oct141746374152
936835661400
1013146650730
115636a3a304
12266a953576
13131689a295
148ca02168a
1551e26ddc0
hex30f99f86a

13146650730 has 160 divisors (see below), whose sum is σ = 36980976384. Its totient is φ = 3344799744.

The previous prime is 13146650663. The next prime is 13146650743. The reversal of 13146650730 is 3705664131.

13146650730 is a `hidden beast` number, since 1 + 3 + 146 + 6 + 507 + 3 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10748899 + ... + 10750121.

Almost surely, 213146650730 is an apocalyptic number.

13146650730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13146650730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18490488192).

13146650730 is an abundant number, since it is smaller than the sum of its proper divisors (23834325654).

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

13146650730 is a wasteful number, since it uses less digits than its factorization.

13146650730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 13146650730 in words is "thirteen billion, one hundred forty-six million, six hundred fifty thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 270 345 405 414 577 621 690 810 1035 1154 1223 1242 1731 1863 2070 2446 2885 3105 3462 3669 3726 5193 5770 6115 6210 7338 8655 9315 10386 11007 12230 13271 15579 17310 18345 18630 22014 25965 26542 28129 31158 33021 36690 39813 46737 51930 55035 56258 66042 66355 77895 79626 84387 93474 99063 110070 119439 132710 140645 155790 165105 168774 198126 199065 233685 238878 253161 281290 330210 358317 398130 421935 467370 495315 506322 597195 705671 716634 759483 843870 990630 1074951 1194390 1265805 1411342 1518966 1791585 2117013 2149902 2278449 2531610 3528355 3583170 3797415 4234026 4556898 5374755 6351039 7056710 7594830 10585065 10749510 11392245 12702078 16230433 19053117 21170130 22784490 31755195 32460866 38106234 48691299 57159351 63510390 81152165 95265585 97382598 114318702 146073897 162304330 190531170 243456495 285796755 292147794 438221691 486912990 571593510 730369485 876443382 1314665073 1460738970 2191108455 2629330146 4382216910 6573325365 13146650730