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12335538672 = 243285663463
BaseRepresentation
bin10110111110100000…
…10110000111110000
31011211200111021212200
423133100112013300
5200230344214142
65400013223200
7614454230412
oct133720260760
934750437780
1012335538672
1152600a9866
122483191b00
131217826612
148504029b2
154c2e4e64c
hex2df4161f0

12335538672 has 30 divisors (see below), whose sum is σ = 34522375992. Its totient is φ = 4111846176.

The previous prime is 12335538671. The next prime is 12335538679. The reversal of 12335538672 is 27683553321.

12335538672 is a `hidden beast` number, since 1 + 2 + 33 + 553 + 8 + 67 + 2 = 666.

12335538672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12335538671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42831588 + ... + 42831875.

Almost surely, 212335538672 is an apocalyptic number.

12335538672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12335538672 is an abundant number, since it is smaller than the sum of its proper divisors (22186837320).

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

12335538672 is a wasteful number, since it uses less digits than its factorization.

12335538672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85663477 (or 85663468 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 12335538672 in words is "twelve billion, three hundred thirty-five million, five hundred thirty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 85663463 171326926 256990389 342653852 513980778 685307704 770971167 1027961556 1370615408 1541942334 2055923112 3083884668 4111846224 6167769336 12335538672