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1145827053 = 34719314773
BaseRepresentation
bin100010001001011…
…1110111011101101
32221212002001020000
41010102332323231
54321312431203
6305411014513
740252240440
oct10422767355
92855061200
101145827053
11538875908
1227b89a439
13153507897
14ac26b657
156a8d94a3
hex444beeed

1145827053 has 160 divisors (see below), whose sum is σ = 2200535040. Its totient is φ = 579467520.

The previous prime is 1145827049. The next prime is 1145827073. The reversal of 1145827053 is 3507285411.

1145827053 is a `hidden beast` number, since 1 + 1 + 4 + 582 + 70 + 5 + 3 = 666.

It is not a de Polignac number, because 1145827053 - 22 = 1145827049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1145826999 and 1145827017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145827043) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15696225 + ... + 15696297.

It is an arithmetic number, because the mean of its divisors is an integer number (13753344).

Almost surely, 21145827053 is an apocalyptic number.

It is an amenable number.

1145827053 is a deficient number, since it is larger than the sum of its proper divisors (1054707987).

1145827053 is a wasteful number, since it uses less digits than its factorization.

1145827053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1145827053 is about 33850.0672525181. The cubic root of 1145827053 is about 1046.4207845458.

The spelling of 1145827053 in words is "one billion, one hundred forty-five million, eight hundred twenty-seven thousand, fifty-three".

Divisors: 1 3 7 9 19 21 27 31 47 57 63 73 81 93 133 141 171 189 217 219 279 329 399 423 511 513 567 589 651 657 837 893 987 1197 1269 1387 1457 1533 1539 1767 1953 1971 2263 2511 2679 2961 3431 3591 3807 4123 4161 4371 4599 5301 5859 5913 6251 6789 8037 8883 9709 10199 10293 10773 12369 12483 13113 13797 15841 15903 17577 18753 20367 24017 24111 26649 27683 29127 30597 30879 37107 37449 39339 41391 42997 47523 47709 56259 61101 65189 72051 72333 83049 87381 91791 92637 106361 111321 112347 118017 128991 142569 168777 183303 193781 195567 216153 249147 262143 275373 277911 300979 319083 333963 386973 427707 456323 506331 581343 586701 648459 744527 747441 786429 826119 902937 957249 1160919 1283121 1368969 1744029 1760103 1945377 2020859 2233581 2242323 2708811 2871747 3482757 4106907 5232087 5280309 6062577 6700743 8126433 8615241 12320721 14146013 15696261 18187731 20102229 24379299 36962163 42438039 54563193 60306687 127314117 163689579 381942351 1145827053