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5189036125329 = 3271719261220019
BaseRepresentation
bin100101110000010101010…
…1001111010110010010001
3200101001210211221021022100
41023200222221322302101
51140004121222002304
615011451004431013
71043616103213020
oct113405251726221
920331724837270
105189036125329
111720726684411
126b9805848469
132b8429ac6b24
1413d2176bc8b7
158eea3390439
hex4b82aa7ac91

5189036125329 has 144 divisors (see below), whose sum is σ = 9729368887680. Its totient is φ = 2600507151360.

The previous prime is 5189036125313. The next prime is 5189036125387. The reversal of 5189036125329 is 9235216309815.

5189036125329 is a `hidden beast` number, since 5 + 1 + 8 + 9 + 0 + 361 + 253 + 29 = 666.

It is not a de Polignac number, because 5189036125329 - 24 = 5189036125313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5189036125309) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23474482 + ... + 23694500.

It is an arithmetic number, because the mean of its divisors is an integer number (67565061720).

Almost surely, 25189036125329 is an apocalyptic number.

It is an amenable number.

5189036125329 is a deficient number, since it is larger than the sum of its proper divisors (4540332762351).

5189036125329 is a wasteful number, since it uses less digits than its factorization.

5189036125329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220148 (or 220126 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 5189036125329 in words is "five trillion, one hundred eighty-nine billion, thirty-six million, one hundred twenty-five thousand, three hundred twenty-nine".

Divisors: 1 3 7 9 17 19 21 51 57 61 63 119 133 153 171 183 323 357 361 399 427 549 969 1037 1071 1083 1159 1197 1281 2261 2527 2907 3111 3249 3477 3843 6137 6783 7259 7581 8113 9333 10431 18411 19703 20349 21777 22021 22743 24339 42959 55233 59109 65331 66063 73017 128877 137921 154147 177327 198189 220019 374357 386631 413763 462441 660057 1123071 1241289 1387323 1540133 1980171 2620499 3369213 3740323 4180361 4620399 7861497 11220969 12541083 13421159 13861197 23584491 26182261 29262527 33662907 37623249 40263477 71066137 78546783 79426859 87787581 93948113 120790431 213198411 228159703 235640349 238280577 255002021 263362743 281844339 497462959 555988013 639595233 684479109 714841731 765006063 845533017 1350256603 1492388877 1597117921 1667964039 1785014147 2053437327 2295018189 4050769809 4335034357 4477166631 4791353763 4845038399 5003892117 5355042441 9451796221 12152309427 13005103071 14374061289 14535115197 16065127323 28355388663 30345240499 33915268793 39015309213 43605345591 82365652783 85066165989 91035721497 101745806379 247096958349 273107164491 305237419137 576559569481 741290875047 1729678708443 5189036125329