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13755500000 = 2556114161
BaseRepresentation
bin11001100111110010…
…00100010111100000
31022111122101210121222
430303321010113200
5211132402000000
610152540034212
7664605551354
oct146371042740
938448353558
1013755500000
115919691820
1227ba832968
1313b2a73a18
14946c2d464
15557938a85
hex333e445e0

13755500000 has 336 divisors, whose sum is σ = 38449195344. Its totient is φ = 4800000000.

The previous prime is 13755499951. The next prime is 13755500009. The reversal of 13755500000 is 555731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13755500009) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 225499970 + ... + 225500030.

It is an arithmetic number, because the mean of its divisors is an integer number (114432129).

Almost surely, 213755500000 is an apocalyptic number.

13755500000 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 13755500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19224597672).

13755500000 is an abundant number, since it is smaller than the sum of its proper divisors (24693695344).

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

13755500000 is an frugal number, since it uses more digits than its factorization.

13755500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 26.

The spelling of 13755500000 in words is "thirteen billion, seven hundred fifty-five million, five hundred thousand".