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12287045844 = 2234291307689
BaseRepresentation
bin10110111000101110…
…10111000011010100
31011201022020121020000
423130113113003110
5200130440431334
65351122011300
7613325111043
oct133427270324
934638217200
1012287045844
115235798447
12246aaa6b30
13120a778238
14847bbc55a
154bda71299
hex2dc5d70d4

12287045844 has 60 divisors (see below), whose sum is σ = 33228402900. Its totient is φ = 3954448512.

The previous prime is 12287045843. The next prime is 12287045899. The reversal of 12287045844 is 44854078221.

12287045844 is a `hidden beast` number, since 122 + 8 + 70 + 458 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5356483344 + 6930562500 = 73188^2 + 83250^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12287045844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12287045843) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 644449 + ... + 663240.

It is an arithmetic number, because the mean of its divisors is an integer number (553806715).

Almost surely, 212287045844 is an apocalyptic number.

It is an amenable number.

12287045844 is an abundant number, since it is smaller than the sum of its proper divisors (20941357056).

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

12287045844 is a wasteful number, since it uses less digits than its factorization.

12287045844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307734 (or 1307723 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 12287045844 in words is "twelve billion, two hundred eighty-seven million, forty-five thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 1307689 2615378 3923067 5230756 7846134 11769201 15692268 23538402 35307603 37922981 47076804 70615206 75845962 105922809 113768943 141230412 151691924 211845618 227537886 341306829 423691236 455075772 682613658 1023920487 1365227316 2047840974 3071761461 4095681948 6143522922 12287045844