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12824050005 = 3451318113457
BaseRepresentation
bin10111111000101111…
…10111100101010101
31020002201201020110000
423330113313211111
5202230424100010
65520303521513
7632535424614
oct137427674525
936081636400
1012824050005
115490929638
12259a8b9299
131294ab8390
1489924787b
15500c987c0
hex2fc5f7955

12824050005 has 80 divisors (see below), whose sum is σ = 24895254384. Its totient is φ = 6278031360.

The previous prime is 12824049991. The next prime is 12824050037. The reversal of 12824050005 is 50005042821.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 623301156 + 12200748849 = 24966^2 + 110457^2 .

It is not a de Polignac number, because 12824050005 - 24 = 12824049989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 946237 + ... + 959693.

Almost surely, 212824050005 is an apocalyptic number.

12824050005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12824050005 is a deficient number, since it is larger than the sum of its proper divisors (12071204379).

12824050005 is a wasteful number, since it uses less digits than its factorization.

12824050005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13668 (or 13659 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 12824050005 its reverse (50005042821), we get a palindrome (62829092826).

The spelling of 12824050005 in words is "twelve billion, eight hundred twenty-four million, fifty thousand, five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 181 195 351 405 543 585 905 1053 1629 1755 2353 2715 4887 5265 7059 8145 11765 13457 14661 21177 24435 35295 40371 63531 67285 73305 105885 121113 174941 190593 201855 317655 363339 524823 605565 874705 952965 1090017 1574469 1816695 2435717 2624115 4723407 5450085 7307151 7872345 12178585 14170221 21921453 23617035 31664321 36535755 65764359 70851105 94992963 109607265 158321605 197293077 284978889 328821795 474964815 854936667 986465385 1424894445 2564810001 4274683335 12824050005