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42206247897741 = 341728920258341
BaseRepresentation
bin10011001100010111010000…
…11010011100101010001101
312112102212200222120122020000
421212023220122130222031
521013001343430211431
6225433141013314513
711614205111542104
oct1146135032345215
9175385628518200
1042206247897741
11124a2629695104
124897a2b035a39
131a720556a15c5
14a5cb16b4903b
154d2d349229e6
hex2662e869ca8d

42206247897741 has 60 divisors (see below), whose sum is σ = 67728296724660. Its totient is φ = 26184795816960.

The previous prime is 42206247897731. The next prime is 42206247897743. The reversal of 42206247897741 is 14779874260224.

42206247897741 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 6 + 2 + 478 + 97 + 74 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3411728100 + 42202836169641 = 58410^2 + 6496371^2 .

It is not a de Polignac number, because 42206247897741 - 219 = 42206247373453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42206247897743) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8045770 + ... + 12212571.

It is an arithmetic number, because the mean of its divisors is an integer number (1128804945411).

Almost surely, 242206247897741 is an apocalyptic number.

It is an amenable number.

42206247897741 is a deficient number, since it is larger than the sum of its proper divisors (25522048826919).

42206247897741 is a wasteful number, since it uses less digits than its factorization.

42206247897741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20258476 (or 20258450 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 42206247897741 in words is "forty-two trillion, two hundred six billion, two hundred forty-seven million, eight hundred ninety-seven thousand, seven hundred forty-one".

Divisors: 1 3 9 17 27 51 81 89 153 267 289 459 801 867 1377 1513 2403 2601 4539 7209 7803 13617 23409 25721 40851 77163 122553 231489 694467 2083401 20258341 60775023 182325069 344391797 546975207 1033175391 1640925621 1802992349 3099526173 5408977047 5854660549 9298578519 16226931141 17563981647 27895735557 30650869933 48680793423 52691944941 91952609799 146042380269 158075834823 275857829397 474227504469 521064788861 827573488191 1563194366583 2482720464573 4689583099749 14068749299247 42206247897741