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17133945226489 = 7213434992
BaseRepresentation
bin1111100101010100111010…
…1110000000010011111001
32020122222201002202202011001
43321111032232000103321
54221210304434221424
6100235120433405001
73415613064300100
oct371251656002371
966588632682131
1017133945226489
115506513443553
121b0880b709761
13973954b10000
144334047a7037
151eaa5ea0b844
hexf954eb804f9

17133945226489 has 45 divisors (see below), whose sum is σ = 21598382284137. Its totient is φ = 13552653690576.

The previous prime is 17133945226481. The next prime is 17133945226501. The reversal of 17133945226489 is 98462254933171.

The square root of 17133945226489 is 4139317.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 8495283720889 + 8638661505600 = 2914667^2 + 2939160^2 .

It is not a de Polignac number, because 17133945226489 - 23 = 17133945226481 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 17133945226489.

It is not an unprimeable number, because it can be changed into a prime (17133945226481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4896810262 + ... + 4896813760.

Almost surely, 217133945226489 is an apocalyptic number.

17133945226489 is the 4139317-th square number.

17133945226489 is the 2069659-th centered octagonal number.

It is an amenable number.

17133945226489 is a deficient number, since it is larger than the sum of its proper divisors (4464437057648).

17133945226489 is an frugal number, since it uses more digits than its factorization.

17133945226489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7064 (or 3519 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 64.

The spelling of 17133945226489 in words is "seventeen trillion, one hundred thirty-three billion, nine hundred forty-five million, two hundred twenty-six thousand, four hundred eighty-nine".

Divisors: 1 7 13 49 91 169 637 1183 2197 3499 8281 15379 24493 28561 45487 107653 171451 199927 318409 591331 1399489 2228863 4139317 7687303 12243001 28975219 53811121 85701007 99934939 159159013 376677847 599907049 699544573 1114113091 2069067169 4896812011 7798791637 14483470183 26897873197 101384291281 188285112379 349672351561 1317995786653 2447706460927 17133945226489