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8005740561 = 3271317356503
BaseRepresentation
bin1110111010010110…
…11110100000010001
3202122221012202110200
413131023132200101
5112343432144221
63402222445413
7402250446330
oct73513364021
922587182420
108005740561
113439039415
121675133869
139a77a2cc0
1455d35dd17
1531cc81426
hex1dd2de811

8005740561 has 48 divisors (see below), whose sum is σ = 14314949376. Its totient is φ = 4198324608.

The previous prime is 8005740557. The next prime is 8005740581. The reversal of 8005740561 is 1650475008.

8005740561 is a `hidden beast` number, since 8 + 0 + 0 + 57 + 40 + 561 = 666.

It is not a de Polignac number, because 8005740561 - 22 = 8005740557 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8005740581) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 113436 + ... + 169938.

It is an arithmetic number, because the mean of its divisors is an integer number (298228112).

Almost surely, 28005740561 is an apocalyptic number.

It is an amenable number.

8005740561 is a deficient number, since it is larger than the sum of its proper divisors (6309208815).

8005740561 is a wasteful number, since it uses less digits than its factorization.

8005740561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56702 (or 56699 counting only the distinct ones).

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

The square root of 8005740561 is about 89474.8040567846. The cubic root of 8005740561 is about 2000.4782657052.

The spelling of 8005740561 in words is "eight billion, five million, seven hundred forty thousand, five hundred sixty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 173 273 519 819 1211 1557 2249 3633 6747 10899 15743 20241 47229 56503 141687 169509 395521 508527 734539 1186563 2203617 3559689 5141773 6610851 9775019 15425319 29325057 46275957 68425133 87975171 127075247 205275399 381225741 615826197 889526729 1143677223 2668580187 8005740561