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11663033634036 = 2234471528750101
BaseRepresentation
bin1010100110111000001011…
…1110100000110011110100
31112021222022212102010010000
42221232002332200303310
53012041343102242121
640445531303231300
72312424563114211
oct251560276406364
945258285363100
1011663033634036
1137972a0482734
12138445a448530
13667a8616b065
142c46cb14cb08
151535b0264526
hexa9b82fa0cf4

11663033634036 has 120 divisors (see below), whose sum is σ = 31140844390656. Its totient is φ = 3804636484800.

The previous prime is 11663033634013. The next prime is 11663033634037. The reversal of 11663033634036 is 63043633036611.

11663033634036 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 3 + 0 + 3 + 3 + 634 + 0 + 3 + 6 = 666.

11663033634036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11663033633982 and 11663033634000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11663033634037) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 232765386 + ... + 232815486.

Almost surely, 211663033634036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11663033634036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15570422195328).

11663033634036 is an abundant number, since it is smaller than the sum of its proper divisors (19477810756620).

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

11663033634036 is a wasteful number, since it uses less digits than its factorization.

11663033634036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65451 (or 65440 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 45.

The spelling of 11663033634036 in words is "eleven trillion, six hundred sixty-three billion, thirty-three million, six hundred thirty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 1269 1692 2538 3807 5076 7614 15228 15287 30574 45861 50101 61148 91722 100202 137583 150303 183444 200404 275166 300606 412749 450909 550332 601212 718489 825498 901818 1238247 1352727 1436978 1650996 1803636 2155467 2354747 2476494 2705454 2873956 4058181 4310934 4709494 4952988 5410908 6466401 7064241 8116362 8621868 9418988 12932802 14128482 16232724 19399203 21192723 25865604 28256964 38798406 42385446 58197609 63578169 77596812 84770892 116395218 127156338 190734507 232790436 254312676 381469014 762938028 765893987 1531787974 2297681961 3063575948 4595363922 6893045883 9190727844 13786091766 20679137649 27572183532 35997017389 41358275298 62037412947 71994034778 82716550596 107991052167 124074825894 143988069556 215982104334 248149651788 323973156501 431964208668 647946313002 971919469503 1295892626004 1943838939006 2915758408509 3887677878012 5831516817018 11663033634036