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129091459849 = 1128923672
BaseRepresentation
bin111100000111001110…
…0110101101100001001
3110100012121100121211121
41320032130311230021
54103334403203344
6135145341555241
712220002206152
oct1701634655411
9410177317747
10129091459849
114a824844500
1221028575b21
13c2338aac01
146368968929
1535581eb684
hex1e0e735b09

129091459849 has 27 divisors (see below), whose sum is σ = 143898236391. Its totient is φ = 115721089440.

The previous prime is 129091459843. The next prime is 129091459867. The reversal of 129091459849 is 948954190921.

The square root of 129091459849 is 359293.

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

It can be written as a sum of positive squares in only one way, i.e., 24788298249 + 104303161600 = 157443^2 + 322960^2 .

It is a de Polignac number, because none of the positive numbers 2k-129091459849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129091459843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 351747664 + ... + 351748030.

Almost surely, 2129091459849 is an apocalyptic number.

129091459849 is the 359293-rd square number.

129091459849 is the 179647-th centered octagonal number.

It is an amenable number.

129091459849 is a deficient number, since it is larger than the sum of its proper divisors (14806776542).

129091459849 is an frugal number, since it uses more digits than its factorization.

129091459849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 61.

The spelling of 129091459849 in words is "one hundred twenty-nine billion, ninety-one million, four hundred fifty-nine thousand, eight hundred forty-nine".

Divisors: 1 11 89 121 367 979 4037 7921 10769 32663 44407 87131 134689 359293 958441 1481579 2907007 3952223 11987321 16297369 31977077 131860531 351747847 1066871569 1450465841 11735587259 129091459849