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13312037760 = 273572141497
BaseRepresentation
bin11000110010111010…
…11001001110000000
31021100201221120210120
430121131121032000
5204230340202020
610040535100240
7650612311500
oct143135311600
937321846716
1013312037760
115711330aaa
1226b6211680
131341c25a28
14903d93a00
1552da3c740
hex319759380

13312037760 has 192 divisors, whose sum is σ = 49360162320. Its totient is φ = 3042729984.

The previous prime is 13312037741. The next prime is 13312037771. The reversal of 13312037760 is 6773021331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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, 23332 + ... + 164828.

Almost surely, 213312037760 is an apocalyptic number.

13312037760 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 13312037760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24680081160).

13312037760 is an abundant number, since it is smaller than the sum of its proper divisors (36048124560).

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

13312037760 is a wasteful number, since it uses less digits than its factorization.

13312037760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141533 (or 141514 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 33.

The spelling of 13312037760 in words is "thirteen billion, three hundred twelve million, thirty-seven thousand, seven hundred sixty".