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13289703600 = 24352231912521
BaseRepresentation
bin11000110000010000…
…01100100010110000
31021022011220220002110
430120020030202300
5204204131003400
610034420245320
7650221421355
oct143010144260
937264826073
1013289703600
1156aa767018
1226aa840840
13133a406054
1490101c62c
1552bac9e50
hex31820c8b0

13289703600 has 240 divisors, whose sum is σ = 44672569344. Its totient is φ = 3370752000.

The previous prime is 13289703587. The next prime is 13289703611. The reversal of 13289703600 is 630798231.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5270340 + ... + 5272860.

Almost surely, 213289703600 is an apocalyptic number.

13289703600 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 13289703600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22336284672).

13289703600 is an abundant number, since it is smaller than the sum of its proper divisors (31382865744).

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

13289703600 is a wasteful number, since it uses less digits than its factorization.

13289703600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 13289703600 in words is "thirteen billion, two hundred eighty-nine million, seven hundred three thousand, six hundred".