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13437207840 = 2535713928771
BaseRepresentation
bin11001000001110101…
…11000010100100000
31021200110110212212110
430200322320110200
5210004411122330
610101205555320
7653662245030
oct144072702440
937613425773
1013437207840
115775a54151
122730115b40
131361b3cc74
149168578c0
15539a14db0
hex320eb8520

13437207840 has 192 divisors, whose sum is σ = 48723655680. Its totient is φ = 3049159680.

The previous prime is 13437207829. The next prime is 13437207859. The reversal of 13437207840 is 4870273431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452655 + ... + 481425.

It is an arithmetic number, because the mean of its divisors is an integer number (253769040).

Almost surely, 213437207840 is an apocalyptic number.

13437207840 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 13437207840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24361827840).

13437207840 is an abundant number, since it is smaller than the sum of its proper divisors (35286447840).

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

13437207840 is a wasteful number, since it uses less digits than its factorization.

13437207840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28935 (or 28927 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 13437207840 in words is "thirteen billion, four hundred thirty-seven million, two hundred seven thousand, eight hundred forty".