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13693408190 = 2572112819041
BaseRepresentation
bin11001100000011000…
…01101001110111110
31022100022120012200022
430300030031032332
5211021003030230
610142441132142
7663223022600
oct146014151676
938308505608
1013693408190
115897632280
1227a1a8a052
1313a2c438c7
1493c8a9170
155522711e5
hex33030d3be

13693408190 has 96 divisors (see below), whose sum is σ = 31393679328. Its totient is φ = 4252416000.

The previous prime is 13693408187. The next prime is 13693408207. The reversal of 13693408190 is 9180439631.

13693408190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×136934081902 (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1510070 + ... + 1519110.

It is an arithmetic number, because the mean of its divisors is an integer number (327017493).

Almost surely, 213693408190 is an apocalyptic number.

13693408190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13693408190 is an abundant number, since it is smaller than the sum of its proper divisors (17700271138).

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

13693408190 is a wasteful number, since it uses less digits than its factorization.

13693408190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9354 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The spelling of 13693408190 in words is "thirteen billion, six hundred ninety-three million, four hundred eight thousand, one hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 154 245 281 385 490 539 562 770 1078 1405 1967 2695 2810 3091 3934 5390 6182 9041 9835 13769 15455 18082 19670 21637 27538 30910 43274 45205 63287 68845 90410 99451 108185 126574 137690 151459 198902 216370 302918 316435 443009 497255 632870 696157 757295 886018 994510 1392314 1514590 2215045 2540521 3480785 4430090 4873099 5081042 6961570 9746198 12702605 17783647 24365495 25405210 27945731 35567294 48730990 55891462 88918235 124485529 139728655 177836470 195620117 248971058 279457310 391240234 622427645 978100585 1244855290 1369340819 1956201170 2738681638 6846704095 13693408190