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12642538368 = 27332923277
BaseRepresentation
bin10111100011000110…
…11101001110000000
31012122002011111021210
423301203131032000
5201342442211433
65450301250120
7625202542305
oct136143351600
935562144253
1012642538368
1153a8424219
122549b63940
131266305445
1487d0b90ac
154ded92463
hex2f18dd380

12642538368 has 32 divisors (see below), whose sum is σ = 33581743560. Its totient is φ = 4214179328.

The previous prime is 12642538357. The next prime is 12642538369. The reversal of 12642538368 is 86383524621.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12642538369) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16461255 + ... + 16462022.

Almost surely, 212642538368 is an apocalyptic number.

It is an amenable number.

12642538368 is an abundant number, since it is smaller than the sum of its proper divisors (20939205192).

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

12642538368 is an equidigital number, since it uses as much as digits as its factorization.

12642538368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32923294 (or 32923282 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

It can be divided in two parts, 12642538 and 368, that added together give a triangular number (12642906 = T5028).

The spelling of 12642538368 in words is "twelve billion, six hundred forty-two million, five hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 32923277 65846554 98769831 131693108 197539662 263386216 395079324 526772432 790158648 1053544864 1580317296 2107089728 3160634592 4214179456 6321269184 12642538368