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12428530575444 = 2232418420413669
BaseRepresentation
bin1011010011011011111000…
…1001100110100001010100
31122000011012122221212121200
42310312332021212201110
53112112112311403234
642233331011312500
72421634400550534
oct264667611464124
948004178855550
1012428530575444
113a61a01553875
1214888958ab730
136c200bb47919
1430d788da54c4
15168464437d99
hexb4dbe266854

12428530575444 has 36 divisors (see below), whose sum is σ = 32182821046740. Its totient is φ = 4041798560640.

The previous prime is 12428530575443. The next prime is 12428530575463. The reversal of 12428530575444 is 44457503582421.

12428530575444 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 8 + 530 + 57 + 54 + 4 + 4 = 666.

12428530575444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6713084085444 + 5715446490000 = 2590962^2 + 2390700^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12428530575443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4210205359 + ... + 4210208310.

Almost surely, 212428530575444 is an apocalyptic number.

It is an amenable number.

12428530575444 is an abundant number, since it is smaller than the sum of its proper divisors (19754290471296).

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

12428530575444 is a wasteful number, since it uses less digits than its factorization.

12428530575444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8420413720 (or 8420413715 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 54.

The spelling of 12428530575444 in words is "twelve trillion, four hundred twenty-eight billion, five hundred thirty million, five hundred seventy-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 8420413669 16840827338 25261241007 33681654676 50522482014 75783723021 101044964028 151567446042 303134892084 345236960429 690473920858 1035710881287 1380947841716 2071421762574 3107132643861 4142843525148 6214265287722 12428530575444