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19982696027832 = 23323121242123251
BaseRepresentation
bin1001000101100100101010…
…11111111001011010111000
32121202022211102222122022200
410202302111133321122320
510104344030140342312
6110255531313550200
74131462556465266
oct442622537713270
977668742878280
1019982696027832
116404682a6169a
1222a8944575360
13b1c48b331855
144d124c053436
15249be0b680dc
hex122c957f96b8

19982696027832 has 144 divisors (see below), whose sum is σ = 55928825470440. Its totient is φ = 6445234800000.

The previous prime is 19982696027783. The next prime is 19982696027867. The reversal of 19982696027832 is 23872069628991.

19982696027832 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 2 + 6 + 9 + 602 + 7 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 859422207 + ... + 859445457.

Almost surely, 219982696027832 is an apocalyptic number.

19982696027832 is a gapful number since it is divisible by the number (12) 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 19982696027832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27964412735220).

19982696027832 is an abundant number, since it is smaller than the sum of its proper divisors (35946129442608).

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

19982696027832 is a wasteful number, since it uses less digits than its factorization.

19982696027832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35746 (or 35708 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 19982696027832 in words is "nineteen trillion, nine hundred eighty-two billion, six hundred ninety-six million, twenty-seven thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 961 1116 1922 2232 2883 3844 5766 7688 8649 11532 12421 17298 23064 23251 24842 34596 37263 46502 49684 69192 69753 74526 93004 99368 111789 139506 149052 186008 209259 223578 279012 298104 385051 418518 447156 558024 720781 770102 837036 894312 1155153 1441562 1540204 1674072 2162343 2310306 2883124 3080408 3465459 4324686 4620612 5766248 6487029 6930918 8649372 9241224 11936581 12974058 13861836 17298744 22344211 23873162 25948116 27723672 35809743 44688422 47746324 51896232 67032633 71619486 89376844 95492648 107429229 134065266 143238972 178753688 201097899 214858458 268130532 286477944 288800671 402195798 429716916 536261064 577601342 804391596 859433832 866402013 1155202684 1608783192 1732804026 2310405368 2599206039 3465608052 5198412078 6931216104 8952820801 10396824156 17905641602 20793648312 26858462403 35811283204 53716924806 71622566408 80575387209 107433849612 161150774418 214867699224 277537444831 322301548836 555074889662 644603097672 832612334493 1110149779324 1665224668986 2220299558648 2497837003479 3330449337972 4995674006958 6660898675944 9991348013916 19982696027832