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13418539110 = 2335174576397
BaseRepresentation
bin11000111111100111…
…01010100001100110
31021122011100102012000
430133303222201212
5204440121222420
610055301510130
7653344462164
oct143763524146
937564312160
1013418539110
115766463049
122725a12346
13135b004792
14914198234
15538078690
hex31fcea866

13418539110 has 128 divisors (see below), whose sum is σ = 37976480640. Its totient is φ = 3359895552.

The previous prime is 13418539097. The next prime is 13418539187. The reversal of 13418539110 is 1193581431.

It is a happy number.

13418539110 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 8 + 539 + 110 = 666.

It is a Curzon number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2094432 + ... + 2100828.

It is an arithmetic number, because the mean of its divisors is an integer number (296691255).

Almost surely, 213418539110 is an apocalyptic number.

13418539110 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 13418539110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18988240320).

13418539110 is an abundant number, since it is smaller than the sum of its proper divisors (24557941530).

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

13418539110 is a wasteful number, since it uses less digits than its factorization.

13418539110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6887 (or 6881 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 13418539110 in words is "thirteen billion, four hundred eighteen million, five hundred thirty-nine thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 457 459 510 765 914 918 1371 1530 2285 2295 2742 4113 4570 4590 6397 6855 7769 8226 12339 12794 13710 15538 19191 20565 23307 24678 31985 38382 38845 41130 46614 57573 61695 63970 69921 77690 95955 108749 115146 116535 123390 139842 172719 191910 209763 217498 233070 287865 326247 345438 349605 419526 543745 575730 652494 699210 863595 978741 1048815 1087490 1631235 1727190 1957482 2097630 2923429 2936223 3262470 4893705 5846858 5872446 8770287 9787410 14617145 14681115 17540574 26310861 29234290 29362230 43851435 49698293 52621722 78932583 87702870 99396586 131554305 149094879 157865166 248491465 263108610 298189758 394662915 447284637 496982930 745474395 789325830 894569274 1341853911 1490948790 2236423185 2683707822 4472846370 6709269555 13418539110