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13411419364 = 227413710193
BaseRepresentation
bin11000111110110001…
…00000010011100100
31021121122221200201201
430133120200103210
5204431310404424
610054445132244
7653230120000
oct143730402344
937548850651
1013411419364
11576243a962
12272355a084
1313596b0c05
14913263700
1553761dd44
hex31f6204e4

13411419364 has 60 divisors (see below), whose sum is σ = 27582578604. Its totient is φ = 5705236992.

The previous prime is 13411419353. The next prime is 13411419377. The reversal of 13411419364 is 46391411431.

It can be written as a sum of positive squares in 2 ways, for example, as 8759088100 + 4652331264 = 93590^2 + 68208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1310652 + ... + 1320844.

Almost surely, 213411419364 is an apocalyptic number.

13411419364 is a gapful number since it is divisible by the number (14) 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 13411419364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13791289302).

13411419364 is an abundant number, since it is smaller than the sum of its proper divisors (14171159240).

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

13411419364 is a wasteful number, since it uses less digits than its factorization.

13411419364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10362 (or 10339 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The spelling of 13411419364 in words is "thirteen billion, four hundred eleven million, four hundred nineteen thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 137 196 274 343 548 686 959 1372 1918 2401 3836 4802 6713 9604 10193 13426 20386 26852 40772 46991 71351 93982 142702 187964 285404 328937 499457 657874 998914 1315748 1396441 1997828 2792882 3496199 5585764 6992398 9775087 13984796 19550174 24473393 39100348 48946786 68425609 97893572 136851218 273702436 478979263 957958526 1915917052 3352854841 6705709682 13411419364