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1145563614 = 23313101107151
BaseRepresentation
bin100010001000111…
…1110100111011110
32221211120122212000
41010101332213132
54321231013424
6305401223130
740250062416
oct10421764736
92854518760
101145563614
11538705998
1227b791aa6
131534449c0
14ac1dd646
156a8863c9
hex4447e9de

1145563614 has 128 divisors (see below), whose sum is σ = 2813045760. Its totient is φ = 343440000.

The previous prime is 1145563579. The next prime is 1145563621. The reversal of 1145563614 is 4163655411.

1145563614 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 5 + 636 + 14 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7586439 + ... + 7586589.

It is an arithmetic number, because the mean of its divisors is an integer number (21976920).

Almost surely, 21145563614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145563614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406522880).

1145563614 is an abundant number, since it is smaller than the sum of its proper divisors (1667482146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1145563614 is a wasteful number, since it uses less digits than its factorization.

1145563614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 1145563614 is about 33846.1757662516. The cubic root of 1145563614 is about 1046.3405836192.

The spelling of 1145563614 in words is "one billion, one hundred forty-five million, five hundred sixty-three thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 101 107 117 151 202 214 234 302 303 321 351 453 606 642 702 906 909 963 1313 1359 1391 1818 1926 1963 2626 2718 2727 2782 2889 3926 3939 4077 4173 5454 5778 5889 7878 8154 8346 10807 11778 11817 12519 15251 16157 17667 21614 23634 25038 30502 32314 32421 35334 35451 37557 45753 48471 53001 64842 70902 75114 91506 96942 97263 106002 137259 140491 145413 194526 198263 210041 274518 280982 290826 291789 396526 411777 420082 421473 436239 583578 594789 630123 823554 842946 872478 1189578 1260246 1264419 1631857 1784367 1890369 2528838 3263714 3568734 3780738 3793257 4895571 5353101 5671107 7586514 9791142 10706202 11342214 14686713 21214141 29373426 42428282 44060139 63642423 88120278 127284846 190927269 381854538 572781807 1145563614