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116263000945 = 5721375748221
BaseRepresentation
bin110110001000111010…
…0001001101101110001
3102010002120100101112001
41230101310021231301
53401101312012240
6125224355334001
711254051126300
oct1542164115561
9363076311461
10116263000945
1145341484453
121a6482b1301
13ac6ac0ab20
1458accd4437
153056d8189a
hex1b11d09b71

116263000945 has 48 divisors (see below), whose sum is σ = 175012297488. Its totient is φ = 73491909120.

The previous prime is 116263000933. The next prime is 116263000949. The reversal of 116263000945 is 549000362611.

116263000945 is a nontrivial binomial coefficient, being equal to C(482210, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 26674728976 + 89588271969 = 163324^2 + 299313^2 .

It is not a de Polignac number, because 116263000945 - 213 = 116262992753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116263000949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2386935 + ... + 2435155.

It is an arithmetic number, because the mean of its divisors is an integer number (3646089531).

Almost surely, 2116263000945 is an apocalyptic number.

116263000945 is the 482209-th triangular number and also the 241105-th hexagonal number.

116263000945 is the 160737-th centered nonagonal number.

It is an amenable number.

116263000945 is a deficient number, since it is larger than the sum of its proper divisors (58749296543).

116263000945 is a wasteful number, since it uses less digits than its factorization.

116263000945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49010 (or 49003 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 116263000945 in words is "one hundred sixteen billion, two hundred sixty-three million, nine hundred forty-five", and thus it is an aban number.

Divisors: 1 5 7 13 35 49 65 91 245 455 637 757 3185 3785 5299 9841 26495 37093 48221 49205 68887 185465 241105 337547 344435 482209 626873 1687735 2362829 2411045 3134365 4388111 11814145 21940555 30716777 36503297 153583885 182516485 255523079 474542861 1277615395 1788661553 2372714305 3321800027 8943307765 16609000135 23252600189 116263000945