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116303807268 = 2232117918711987
BaseRepresentation
bin110110001010000111…
…1110100001100100100
3102010012102010120021100
41230110033310030210
53401142233313033
6125232414120100
711255055023205
oct1542417641444
9363172116240
10116303807268
1145362515890
121a659ab0030
13ac764c768c
1458b44b75ac
15305a742513
hex1b143f4324

116303807268 has 144 divisors (see below), whose sum is σ = 325113384960. Its totient is φ = 34761355200.

The previous prime is 116303807237. The next prime is 116303807297. The reversal of 116303807268 is 862708303611.

116303807268 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 0 + 380 + 7 + 268 = 666.

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, 58531371 + ... + 58533357.

It is an arithmetic number, because the mean of its divisors is an integer number (2257731840).

Almost surely, 2116303807268 is an apocalyptic number.

116303807268 is a gapful number since it is divisible by the number (18) 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 116303807268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162556692480).

116303807268 is an abundant number, since it is smaller than the sum of its proper divisors (208809577692).

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

116303807268 is a wasteful number, since it uses less digits than its factorization.

116303807268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 116303807268 in words is "one hundred sixteen billion, three hundred three million, eight hundred seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 79 99 132 158 198 237 316 396 474 711 869 948 1422 1738 1871 1987 2607 2844 3476 3742 3974 5214 5613 5961 7484 7821 7948 10428 11226 11922 15642 16839 17883 20581 21857 22452 23844 31284 33678 35766 41162 43714 61743 65571 67356 71532 82324 87428 123486 131142 147809 156973 185229 196713 246972 262284 295618 313946 370458 393426 443427 470919 591236 627892 740916 786852 886854 941838 1330281 1412757 1625899 1726703 1773708 1883676 2660562 2825514 3251798 3453406 3717677 4877697 5180109 5321124 5651028 6503596 6906812 7435354 9755394 10360218 11153031 14633091 14870708 15540327 19510788 20720436 22306062 29266182 31080654 33459093 40894447 44612124 58532364 62161308 66918186 81788894 122683341 133836372 163577788 245366682 293696483 368050023 490733364 587392966 736100046 881089449 1174785932 1472200092 1762178898 2643268347 3230661313 3524357796 5286536694 6461322626 9691983939 10573073388 12922645252 19383967878 29075951817 38767935756 58151903634 116303807268