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13197320640 = 263257654629
BaseRepresentation
bin11000100101001111…
…10010000111000000
31021001202002100111100
430102213302013000
5204012003230030
610021320214400
7645020242320
oct142247620700
937052070440
1013197320640
1156625a8369
12268390a400
13132422b58a
148d2a51280
1552392c360
hex3129f21c0

13197320640 has 168 divisors, whose sum is σ = 51878118240. Its totient is φ = 3016525824.

The previous prime is 13197320639. The next prime is 13197320657. The reversal of 13197320640 is 4602379131.

13197320640 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 7 + 3 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 13197320595 and 13197320604.

It is a congruent number.

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, 307155 + ... + 347474.

Almost surely, 213197320640 is an apocalyptic number.

13197320640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13197320640 is an abundant number, since it is smaller than the sum of its proper divisors (38680797600).

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

13197320640 is a wasteful number, since it uses less digits than its factorization.

13197320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654659 (or 654646 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 13197320640 its reverse (4602379131), we get a palindrome (17799699771).

The spelling of 13197320640 in words is "thirteen billion, one hundred ninety-seven million, three hundred twenty thousand, six hundred forty".