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16426052560 = 2454753139593
BaseRepresentation
bin11110100110001000…
…11010101111010000
31120101202111221001001
433103010122233100
5232120032140220
611313535151344
71121024100031
oct172304325720
946352457031
1016426052560
116a6a095455
123225075554
13171a119b38
14b1b798a88
1566210380a
hex3d311abd0

16426052560 has 160 divisors (see below), whose sum is σ = 40092433920. Its totient is φ = 6253338624.

The previous prime is 16426052557. The next prime is 16426052567. The reversal of 16426052560 is 6525062461.

16426052560 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 (16426052567) 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 31 ways as a sum of consecutive naturals, for example, 27699624 + ... + 27700216.

It is an arithmetic number, because the mean of its divisors is an integer number (250577712).

Almost surely, 216426052560 is an apocalyptic number.

16426052560 is a gapful number since it is divisible by the number (10) 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 16426052560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20046216960).

16426052560 is an abundant number, since it is smaller than the sum of its proper divisors (23666381360).

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

16426052560 is a wasteful number, since it uses less digits than its factorization.

16426052560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

Subtracting from 16426052560 its reverse (6525062461), we obtain a palindrome (9900990099).

The spelling of 16426052560 in words is "sixteen billion, four hundred twenty-six million, fifty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 47 53 80 94 106 139 188 212 235 265 278 376 424 470 530 556 593 695 752 848 940 1060 1112 1186 1390 1880 2120 2224 2372 2491 2780 2965 3760 4240 4744 4982 5560 5930 6533 7367 9488 9964 11120 11860 12455 13066 14734 19928 23720 24910 26132 27871 29468 31429 32665 36835 39856 47440 49820 52264 55742 58936 62858 65330 73670 82427 99640 104528 111484 117872 125716 130660 139355 147340 157145 164854 199280 222968 251432 261320 278710 294680 314290 329708 346249 412135 445936 502864 522640 557420 589360 628580 659416 692498 824270 1114840 1257160 1318832 1384996 1477163 1648540 1731245 2229680 2514320 2769992 2954326 3297080 3462490 3874069 4368631 5539984 5908652 6594160 6924980 7385815 7748138 8737262 11817304 13849960 14771630 15496276 17474524 19370345 21843155 23634608 27699920 29543260 30992552 34949048 38740690 43686310 59086520 61985104 69898096 77481380 87372620 118173040 154962760 174745240 205325657 309925520 349490480 410651314 821302628 1026628285 1642605256 2053256570 3285210512 4106513140 8213026280 16426052560