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12669002640 = 243457299631
BaseRepresentation
bin10111100110010000…
…11010001110010000
31012200220222000110000
423303020122032100
5201421231041030
65453044410000
7625643513520
oct136310321620
935626860400
1012669002640
11541135a218
1225569a6900
13126b93cc88
14882807680
154e236d860
hex2f321a390

12669002640 has 400 divisors, whose sum is σ = 52026670080. Its totient is φ = 2795627520.

The previous prime is 12669002627. The next prime is 12669002641. The reversal of 12669002640 is 4620096621.

12669002640 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 9 + 0 + 0 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12669002595 and 12669002604.

It is not an unprimeable number, because it can be changed into a prime (12669002641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1310625 + ... + 1320255.

Almost surely, 212669002640 is an apocalyptic number.

12669002640 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 12669002640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26013335040).

12669002640 is an abundant number, since it is smaller than the sum of its proper divisors (39357667440).

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

12669002640 is a wasteful number, since it uses less digits than its factorization.

12669002640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9692 (or 9677 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12669002640 in words is "twelve billion, six hundred sixty-nine million, two thousand, six hundred forty".