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11260060304416 = 2571119240517351
BaseRepresentation
bin1010001111011010111111…
…1001010000010000100000
31110212110011221222221122221
42203312233321100100200
52433441100414220131
635540444510240424
72241340535250550
oct243665771202040
943773157887587
1011260060304416
113651401546830
12131a3374b6114
13638a85825aa1
142acdc0127160
15147d777e4411
hexa3dafe50420

11260060304416 has 96 divisors (see below), whose sum is σ = 29092978897920. Its totient is φ = 4156139808000.

The previous prime is 11260060304393. The next prime is 11260060304417. The reversal of 11260060304416 is 61440306006211.

It is not an unprimeable number, because it can be changed into a prime (11260060304417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120211860 + ... + 120305491.

It is an arithmetic number, because the mean of its divisors is an integer number (303051863520).

Almost surely, 211260060304416 is an apocalyptic number.

11260060304416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11260060304416 is an abundant number, since it is smaller than the sum of its proper divisors (17832918593504).

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

11260060304416 is a wasteful number, since it uses less digits than its factorization.

11260060304416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240517398 (or 240517390 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 11260060304416 in words is "eleven trillion, two hundred sixty billion, sixty million, three hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 76 77 88 112 133 152 154 176 209 224 266 304 308 352 418 532 608 616 836 1064 1232 1463 1672 2128 2464 2926 3344 4256 5852 6688 11704 23408 46816 240517351 481034702 962069404 1683621457 1924138808 2645690861 3367242914 3848277616 4569829669 5291381722 6734485828 7696555232 9139659338 10582763444 13468971656 18279318676 18519836027 21165526888 26937943312 31988807683 36558637352 37039672054 42331053776 50268126359 53875886624 63977615366 73117274704 74079344108 84662107552 100536252718 127955230732 146234549408 148158688216 201072505436 255910461464 296317376432 351876884513 402145010872 511820922928 592634752864 703753769026 804290021744 1023641845856 1407507538052 1608580043488 2815015076104 5630030152208 11260060304416