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13371885468 = 22324131728579
BaseRepresentation
bin11000111010000011…
…01100011110011100
31021111220120011102100
430131001230132130
5204341200313333
610050513525100
7652240102554
oct143501543634
937456504370
1013371885468
115742098517
122712273790
13135144b586
1490bcd2164
15533e10213
hex31d06c79c

13371885468 has 72 divisors (see below), whose sum is σ = 34736017680. Its totient is φ = 4334711040.

The previous prime is 13371885421. The next prime is 13371885479. The reversal of 13371885468 is 86458817331.

It is a happy number.

13371885468 is a `hidden beast` number, since 1 + 33 + 71 + 8 + 85 + 468 = 666.

13371885468 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 an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 453603 + ... + 482181.

It is an arithmetic number, because the mean of its divisors is an integer number (482444690).

Almost surely, 213371885468 is an apocalyptic number.

13371885468 is a gapful number since it is divisible by the number (18) 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 13371885468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17368008840).

13371885468 is an abundant number, since it is smaller than the sum of its proper divisors (21364132212).

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

13371885468 is a wasteful number, since it uses less digits than its factorization.

13371885468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28947 (or 28942 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 13371885468 in words is "thirteen billion, three hundred seventy-one million, eight hundred eighty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 317 369 492 634 738 951 1268 1476 1902 2853 3804 5706 11412 12997 25994 28579 38991 51988 57158 77982 85737 114316 116973 155964 171474 233946 257211 342948 467892 514422 1028844 1171739 2343478 3515217 4686956 7030434 9059543 10545651 14060868 18119086 21091302 27178629 36238172 42182604 54357258 81535887 108714516 163071774 326143548 371441263 742882526 1114323789 1485765052 2228647578 3342971367 4457295156 6685942734 13371885468