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12420013662 = 2347233115361
BaseRepresentation
bin10111001000100101…
…00101111001011110
31012001120110001210000
423210102211321132
5200414010414122
65412231555130
7616531242240
oct134422457136
935046401700
1012420013662
1152a3857101
1224a752baa6
13122c192814
1485b712090
154ca5890ac
hex2e44a5e5e

12420013662 has 160 divisors (see below), whose sum is σ = 34261438464. Its totient is φ = 3284582400.

The previous prime is 12420013649. The next prime is 12420013673. The reversal of 12420013662 is 26631002421.

It is a Harshad number since it is a multiple of its sum of digits (27).

12420013662 is a modest number, since divided by 13662 gives 12420 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 800862 + ... + 816222.

Almost surely, 212420013662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12420013662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17130719232).

12420013662 is an abundant number, since it is smaller than the sum of its proper divisors (21841424802).

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

12420013662 is a wasteful number, since it uses less digits than its factorization.

12420013662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15436 (or 15427 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 12420013662 in words is "twelve billion, four hundred twenty million, thirteen thousand, six hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 31 42 46 54 62 63 69 81 93 126 138 161 162 186 189 207 217 279 322 378 414 434 483 558 567 621 651 713 837 966 1134 1242 1302 1426 1449 1674 1863 1953 2139 2511 2898 3726 3906 4278 4347 4991 5022 5859 6417 8694 9982 11718 12834 13041 14973 15361 17577 19251 26082 29946 30722 35154 38502 44919 46083 57753 89838 92166 107527 115506 134757 138249 215054 269514 276498 322581 353303 404271 414747 476191 645162 706606 808542 829494 952382 967743 1059909 1244241 1428573 1935486 2119818 2473121 2488482 2857146 2903229 3179727 3333337 4285719 4946242 5806458 6359454 6666674 7419363 8571438 8709687 9539181 10000011 10952393 12857157 14838726 17419374 19078362 20000022 21904786 22258089 25714314 28617543 30000033 32857179 38571471 44516178 57235086 60000066 65714358 66774267 76666751 77142942 90000099 98571537 133548534 153333502 180000198 197143074 200322801 230000253 270000297 295714611 400645602 460000506 540000594 591429222 690000759 887143833 1380001518 1774287666 2070002277 4140004554 6210006831 12420013662