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13218398424 = 2334711264919
BaseRepresentation
bin11000100111110000…
…01100000011011000
31021010012202012210000
430103320030003120
5204032402222144
610023352053000
7645364350510
oct142370140330
937105665700
1013218398424
115673494420
12268a994160
1313286cb43a
148d577a840
155256e2769
hex313e0c0d8

13218398424 has 160 divisors (see below), whose sum is σ = 46159660800. Its totient is φ = 3433337280.

The previous prime is 13218398381. The next prime is 13218398429. The reversal of 13218398424 is 42489381231.

13218398424 is a `hidden beast` number, since 1 + 3 + 218 + 3 + 9 + 8 + 424 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13218398424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13218398429) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82564 + ... + 182355.

It is an arithmetic number, because the mean of its divisors is an integer number (288497880).

Almost surely, 213218398424 is an apocalyptic number.

13218398424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13218398424 is an abundant number, since it is smaller than the sum of its proper divisors (32941262376).

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

13218398424 is a wasteful number, since it uses less digits than its factorization.

13218398424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264955 (or 264942 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 13218398424 in words is "thirteen billion, two hundred eighteen million, three hundred ninety-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 297 308 324 378 396 462 504 567 594 616 648 693 756 792 891 924 1134 1188 1386 1512 1782 1848 2079 2268 2376 2772 3564 4158 4536 5544 6237 7128 8316 12474 16632 24948 49896 264919 529838 794757 1059676 1589514 1854433 2119352 2384271 2914109 3179028 3708866 4768542 5563299 5828218 6358056 7152813 7417732 8742327 9537084 11126598 11656436 14305626 14835464 16689897 17484654 19074168 20398763 21458439 22253196 23312872 26226981 28611252 33379794 34969308 40797526 42916878 44506392 50069691 52453962 57222504 61196289 66759588 69938616 78680943 81595052 85833756 100139382 104907924 122392578 133519176 150209073 157361886 163190104 171667512 183588867 200278764 209815848 236042829 244785156 300418146 314723772 367177734 400557528 472085658 489570312 550766601 600836292 629447544 734355468 944171316 1101533202 1201672584 1468710936 1652299803 1888342632 2203066404 3304599606 4406132808 6609199212 13218398424