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6005049975 = 3252435711087
BaseRepresentation
bin1011001011110110…
…11100101001110111
3120111111120010221100
411211323130221313
544244243044400
62431513021143
7301545040221
oct54573345167
916444503840
106005049975
11260176aa21
1211b70b47b3
13749146512
1440d765411
152522d4100
hex165edca77

6005049975 has 72 divisors (see below), whose sum is σ = 11035261952. Its totient is φ = 3119860800.

The previous prime is 6005049971. The next prime is 6005050033. The reversal of 6005049975 is 5799405006.

It is a happy number.

It is not a de Polignac number, because 6005049975 - 22 = 6005049971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6005049975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005049971) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5523882 + ... + 5524968.

Almost surely, 26005049975 is an apocalyptic number.

6005049975 is a deficient number, since it is larger than the sum of its proper divisors (5030211977).

6005049975 is a wasteful number, since it uses less digits than its factorization.

6005049975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 6005049975 is about 77492.2575164771. The cubic root of 6005049975 is about 1817.6302506259.

The spelling of 6005049975 in words is "six billion, five million, forty-nine thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 25 43 45 75 129 215 225 387 571 645 1075 1087 1713 1935 2855 3225 3261 5139 5435 8565 9675 9783 14275 16305 24553 25695 27175 42825 46741 48915 73659 81525 122765 128475 140223 220977 233705 244575 368295 420669 613825 620677 701115 1104885 1168525 1841475 1862031 2103345 3103385 3505575 5524425 5586093 9310155 10516725 15516925 26689111 27930465 46550775 80067333 133445555 139652325 240201999 400336665 667227775 1201009995 2001683325 6005049975