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12642013216 = 257246722877
BaseRepresentation
bin10111100011000010…
…11101000000100000
31012122001011210220201
423301201131000200
5201342323410331
65450242114544
7625165224250
oct136141350040
935561153821
1012642013216
1153a80a5708
12254994ba54
1312661803c1
1487cdbd960
154decdba61
hex2f185d020

12642013216 has 48 divisors (see below), whose sum is σ = 28457303616. Its totient is φ = 5415572736.

The previous prime is 12642013211. The next prime is 12642013231. The reversal of 12642013216 is 61231024621.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (12642013211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541170 + ... + 564046.

It is an arithmetic number, because the mean of its divisors is an integer number (592860492).

Almost surely, 212642013216 is an apocalyptic number.

12642013216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12642013216 is an abundant number, since it is smaller than the sum of its proper divisors (15815290400).

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

12642013216 is a wasteful number, since it uses less digits than its factorization.

12642013216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25361 (or 25353 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 12642013216 its reverse (61231024621), we get a palindrome (73873037837).

The spelling of 12642013216 in words is "twelve billion, six hundred forty-two million, thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 2467 4934 9868 17269 19736 22877 34538 39472 45754 69076 78944 91508 138152 160139 183016 276304 320278 366032 552608 640556 732064 1281112 2562224 5124448 56437559 112875118 225750236 395062913 451500472 790125826 903000944 1580251652 1806001888 3160503304 6321006608 12642013216