Search a number
-
+
12627660636 = 223213112832087
BaseRepresentation
bin10111100001010101…
…01100111101011100
31012121001011121212200
423300222230331130
5201330140120021
65445010331500
7624632226063
oct136052547534
935531147780
1012627660636
11539aa92378
122544b89b90
1312631c6656
1487b1251da
154dd904126
hex2f0aacf5c

12627660636 has 72 divisors (see below), whose sum is σ = 32204075904. Its totient is φ = 4171833120.

The previous prime is 12627660631. The next prime is 12627660659. The reversal of 12627660636 is 63606672621.

12627660636 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 7 + 6 + 6 + 0 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12627660591 and 12627660600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12627660631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6049585 + ... + 6051671.

It is an arithmetic number, because the mean of its divisors is an integer number (447278832).

Almost surely, 212627660636 is an apocalyptic number.

It is an amenable number.

12627660636 is an abundant number, since it is smaller than the sum of its proper divisors (19576415268).

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

12627660636 is a wasteful number, since it uses less digits than its factorization.

12627660636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 12627660636 in words is "twelve billion, six hundred twenty-seven million, six hundred sixty thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 1179 1283 1572 2087 2358 2566 3849 4174 4716 5132 6261 7698 8348 11547 12522 15396 18783 23094 25044 37566 46188 75132 168073 273397 336146 504219 546794 672292 820191 1008438 1093588 1512657 1640382 2016876 2460573 2677621 3025314 3280764 4921146 5355242 6050628 8032863 9842292 10710484 16065726 24098589 32131452 48197178 96394356 350768351 701536702 1052305053 1403073404 2104610106 3156915159 4209220212 6313830318 12627660636