Search a number
-
+
12247663140 = 2232568042573
BaseRepresentation
bin10110110100000010…
…01000001000100100
31011121120010202022100
423122001020020210
5200040400210030
65343153532100
7612336263466
oct133201101044
934546122270
1012247663140
115215539659
122459874030
13120256966b
1484288a136
154ba392360
hex2da048224

12247663140 has 36 divisors (see below), whose sum is σ = 37151245404. Its totient is φ = 3266043456.

The previous prime is 12247663097. The next prime is 12247663147. The reversal of 12247663140 is 4136674221.

12247663140 is a `hidden beast` number, since 12 + 2 + 4 + 7 + 6 + 631 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2911465764 + 9336197376 = 53958^2 + 96624^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12247663095 and 12247663104.

It is not an unprimeable number, because it can be changed into a prime (12247663147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34021107 + ... + 34021466.

It is an arithmetic number, because the mean of its divisors is an integer number (1031979039).

Almost surely, 212247663140 is an apocalyptic number.

12247663140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12247663140 is an abundant number, since it is smaller than the sum of its proper divisors (24903582264).

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

12247663140 is a wasteful number, since it uses less digits than its factorization.

12247663140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68042588 (or 68042583 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12247663140 in words is "twelve billion, two hundred forty-seven million, six hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 68042573 136085146 204127719 272170292 340212865 408255438 612383157 680425730 816510876 1020638595 1224766314 1360851460 2041277190 2449532628 3061915785 4082554380 6123831570 12247663140