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11742501506072 = 23472831091101149
BaseRepresentation
bin1010101011100000001110…
…1000011000110000011000
31112120120110010020021202212
42222320003220120300120
53014342120341143242
640550233011414252
72321240063641301
oct252700350306030
945516403207685
1011742501506072
113817a6aa79137
121397937bb4388
1367240bc7c34c
142c84a936b7a8
151556b1b70782
hexaae03a18c18

11742501506072 has 64 divisors (see below), whose sum is σ = 22586001984000. Its totient is φ = 5720720492160.

The previous prime is 11742501506051. The next prime is 11742501506081. The reversal of 11742501506072 is 27060510524711.

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 15 ways as a sum of consecutive naturals, for example, 116040554 + ... + 116141702.

It is an arithmetic number, because the mean of its divisors is an integer number (352906281000).

Almost surely, 211742501506072 is an apocalyptic number.

It is an amenable number.

11742501506072 is a deficient number, since it is larger than the sum of its proper divisors (10843500477928).

11742501506072 is a wasteful number, since it uses less digits than its factorization.

11742501506072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102576 (or 102572 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 41.

The spelling of 11742501506072 in words is "eleven trillion, seven hundred forty-two billion, five hundred one million, five hundred six thousand, seventy-two".

Divisors: 1 2 4 8 47 94 188 283 376 566 1091 1132 2182 2264 4364 8728 13301 26602 51277 53204 101149 102554 106408 202298 205108 308753 404596 410216 617506 809192 1235012 2470024 4754003 9508006 14511391 19016012 28625167 29022782 38032024 57250334 58045564 110353559 114500668 116091128 220707118 229001336 441414236 882828472 1345382849 2690765698 5186617273 5381531396 10373234546 10763062792 20746469092 31230057197 41492938184 62460114394 124920228788 249840457576 1467812688259 2935625376518 5871250753036 11742501506072