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13606973190 = 23352317912241
BaseRepresentation
bin11001010110000100…
…11110111100000110
31022010021220212011000
430223002132330012
5210331341120230
610130112354130
7661123235526
oct145302367406
938107825130
1013606973190
115852866398
122778b45946
13138b06c535
14931209686
1554989ab60
hex32b09ef06

13606973190 has 128 divisors (see below), whose sum is σ = 38077516800. Its totient is φ = 3451092480.

The previous prime is 13606973161. The next prime is 13606973227. The reversal of 13606973190 is 9137960631.

13606973190 is a `hidden beast` number, since 1 + 3 + 606 + 9 + 7 + 31 + 9 + 0 = 666.

13606973190 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 2×136069731902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 1105470 + ... + 1117710.

It is an arithmetic number, because the mean of its divisors is an integer number (297480600).

Almost surely, 213606973190 is an apocalyptic number.

13606973190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13606973190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19038758400).

13606973190 is an abundant number, since it is smaller than the sum of its proper divisors (24470543610).

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

13606973190 is a wasteful number, since it uses less digits than its factorization.

13606973190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12459 (or 12453 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 13606973190 in words is "thirteen billion, six hundred six million, nine hundred seventy-three thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 179 207 230 270 345 358 414 537 621 690 895 1035 1074 1242 1611 1790 2070 2685 3105 3222 4117 4833 5370 6210 8055 8234 9666 12241 12351 16110 20585 24165 24482 24702 36723 37053 41170 48330 61205 61755 73446 74106 110169 111159 122410 123510 183615 185265 220338 222318 281543 330507 367230 370530 550845 555795 563086 661014 844629 1101690 1111590 1407715 1652535 1689258 2191139 2533887 2815430 3305070 4223145 4382278 5067774 6573417 7601661 8446290 10955695 12669435 13146834 15203322 19720251 21911390 25338870 32867085 38008305 39440502 50396197 59160753 65734170 76016610 98601255 100792394 118321506 151188591 197202510 251980985 295803765 302377182 453565773 503961970 591607530 755942955 907131546 1360697319 1511885910 2267828865 2721394638 4535657730 6803486595 13606973190