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12674009088 = 2113613653
BaseRepresentation
bin10111100110110111…
…00000100000000000
31012201021101101000000
423303123200200000
5201424021242323
65453344000000
7626034204546
oct136333404000
935637341000
1012674009088
115414169684
122558600000
13126c9a3980
1488334bd96
154e2a0be43
hex2f36e0800

12674009088 has 336 divisors, whose sum is σ = 40980745260. Its totient is φ = 3893723136.

The previous prime is 12674009087. The next prime is 12674009123. The reversal of 12674009088 is 88090047621.

It can be written as a sum of positive squares in 2 ways, for example, as 11293737984 + 1380271104 = 106272^2 + 37152^2 .

It is not an unprimeable number, because it can be changed into a prime (12674009087) 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 27 ways as a sum of consecutive naturals, for example, 19408570 + ... + 19409222.

Almost surely, 212674009088 is an apocalyptic number.

12674009088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12674009088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20490372630).

12674009088 is an abundant number, since it is smaller than the sum of its proper divisors (28306736172).

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

12674009088 is an frugal number, since it uses more digits than its factorization.

12674009088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12674009088 in words is "twelve billion, six hundred seventy-four million, nine thousand, eighty-eight".