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12005509005 = 3257192697457
BaseRepresentation
bin10110010111001010…
…11000011110001101
31010222200111001021200
423023211120132031
5144041402242010
65303143420113
7603336066660
oct131345303615
933880431250
1012005509005
115100884676
1223b0754639
1311943431a9
1481c6536d7
154a3eaccc0
hex2cb95878d

12005509005 has 96 divisors (see below), whose sum is σ = 25130476800. Its totient is φ = 5179355136.

The previous prime is 12005508979. The next prime is 12005509007. The reversal of 12005509005 is 50090550021.

12005509005 is a `hidden beast` number, since 1 + 20 + 0 + 550 + 90 + 0 + 5 = 666.

It is not a de Polignac number, because 12005509005 - 27 = 12005508877 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12005509005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005509007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1606237 + ... + 1613693.

It is an arithmetic number, because the mean of its divisors is an integer number (261775800).

Almost surely, 212005509005 is an apocalyptic number.

12005509005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12005509005 is an abundant number, since it is smaller than the sum of its proper divisors (13124967795).

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

12005509005 is a wasteful number, since it uses less digits than its factorization.

12005509005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7763 (or 7760 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 12005509005 in words is "twelve billion, five million, five hundred nine thousand, five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 269 285 315 399 665 807 855 1197 1345 1883 1995 2421 4035 5111 5649 5985 7457 9415 12105 15333 16947 22371 25555 28245 35777 37285 45999 52199 67113 76665 84735 107331 111855 141683 156597 178885 229995 260995 321993 335565 425049 469791 536655 708415 782985 991781 1275147 1609965 2005933 2125245 2348955 2975343 4958905 6017799 6375735 8926029 10029665 14041531 14876715 18053397 30088995 38112727 42124593 44630145 70207655 90266985 114338181 126373779 190563635 210622965 266789089 343014543 571690905 631868895 800367267 1333945445 1715072715 2401101801 4001836335 12005509005