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12675105090 = 23251011394401
BaseRepresentation
bin10111100110111111…
…01100000101000010
31012201100110001102200
423303133230011002
5201424311330330
65453423254030
7626046421104
oct136337540502
935640401380
1012675105090
11541484806a
122558a4a316
13126cc987ab
14883555574
154e2b76a60
hex2f37ec142

12675105090 has 48 divisors (see below), whose sum is σ = 33281586936. Its totient is φ = 3346560000.

The previous prime is 12675105083. The next prime is 12675105101. The reversal of 12675105090 is 9050157621.

12675105090 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 510 + 50 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10638478449 + 2036626641 = 103143^2 + 45129^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 688111 + ... + 706290.

Almost surely, 212675105090 is an apocalyptic number.

12675105090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12675105090 is an abundant number, since it is smaller than the sum of its proper divisors (20606481846).

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

12675105090 is a wasteful number, since it uses less digits than its factorization.

12675105090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394515 (or 1394512 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 12675105090 in words is "twelve billion, six hundred seventy-five million, one hundred five thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 1394401 2788802 4183203 6972005 8366406 12549609 13944010 20916015 25099218 41832030 62748045 125496090 140834501 281669002 422503503 704172505 845007006 1267510509 1408345010 2112517515 2535021018 4225035030 6337552545 12675105090