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13338253422 = 23313194721277
BaseRepresentation
bin11000110110000010…
…11001100001101110
31021102120021110221000
430123001121201232
5204304043102142
610043313021130
7651351166134
oct143301314156
937376243830
1013338253422
11572510723a
122702b547a6
1313474a4360
14907659754
15530eba14c
hex31b05986e

13338253422 has 128 divisors (see below), whose sum is σ = 34317158400. Its totient is φ = 3805170048.

The previous prime is 13338253421. The next prime is 13338253501. The reversal of 13338253422 is 22435283331.

13338253422 is a `hidden beast` number, since 13 + 33 + 82 + 534 + 2 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13338253421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 616248 + ... + 637524.

It is an arithmetic number, because the mean of its divisors is an integer number (268102800).

Almost surely, 213338253422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13338253422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17158579200).

13338253422 is an abundant number, since it is smaller than the sum of its proper divisors (20978904978).

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

13338253422 is a wasteful number, since it uses less digits than its factorization.

13338253422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21367 (or 21361 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 13338253422 in words is "thirteen billion, three hundred thirty-eight million, two hundred fifty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 47 54 57 78 94 114 117 141 171 234 247 282 342 351 423 494 513 611 702 741 846 893 1026 1222 1269 1482 1786 1833 2223 2538 2679 3666 4446 5358 5499 6669 8037 10998 11609 13338 16074 16497 21277 23218 24111 32994 34827 42554 48222 63831 69654 104481 127662 191493 208962 276601 313443 382986 404263 553202 574479 626886 808526 829803 1000019 1148958 1212789 1659606 2000038 2425578 2489409 3000057 3638367 4978818 5255419 6000114 7276734 7468227 9000171 10510838 10915101 13000247 14936454 15766257 18000342 19000361 21830202 26000494 27000513 31532514 38000722 39000741 47298771 54001026 57001083 78001482 94597542 114002166 117002223 141896313 171003249 234004446 247004693 283792626 342006498 351006669 494009386 513009747 702013338 741014079 1026019494 1482028158 2223042237 4446084474 6669126711 13338253422