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12669914000 = 245324172621
BaseRepresentation
bin10111100110010111…
…11000101110010000
31012200222200022121002
423303023320232100
5201421444222000
65453120121132
7625654330532
oct136313705620
935628608532
1012669914000
115411921a07
1225571661a8
13126bb9ba43
148829a3852
154e249d8d5
hex2f32f8b90

12669914000 has 80 divisors (see below), whose sum is σ = 30660220656. Its totient is φ = 5063936000.

The previous prime is 12669913999. The next prime is 12669914051. The reversal of 12669914000 is 41996621.

It can be written as a sum of positive squares in 8 ways, for example, as 176039824 + 12493874176 = 13268^2 + 111776^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4832690 + ... + 4835310.

Almost surely, 212669914000 is an apocalyptic number.

12669914000 is a gapful number since it is divisible by the number (10) 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 12669914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15330110328).

12669914000 is an abundant number, since it is smaller than the sum of its proper divisors (17990306656).

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

12669914000 is a wasteful number, since it uses less digits than its factorization.

12669914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5061 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The spelling of 12669914000 in words is "twelve billion, six hundred sixty-nine million, nine hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2417 2621 4834 5242 9668 10484 12085 13105 19336 20968 24170 26210 38672 41936 48340 52420 60425 65525 96680 104840 120850 131050 193360 209680 241700 262100 302125 327625 483400 524200 604250 655250 966800 1048400 1208500 1310500 2417000 2621000 4834000 5242000 6334957 12669914 25339828 31674785 50679656 63349570 101359312 126699140 158373925 253398280 316747850 506796560 633495700 791869625 1266991400 1583739250 2533982800 3167478500 6334957000 12669914000