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13445005200 = 24352119071123
BaseRepresentation
bin11001000010110001…
…00111111110010000
31021201000011000211120
430201120213332100
5210013410131300
610102045042240
7654115441614
oct144130477620
937630130746
1013445005200
11577a39a450
122732856380
1313636400a3
149178c7344
1553a5553a0
hex321627f90

13445005200 has 240 divisors, whose sum is σ = 47077867776. Its totient is φ = 3252902400.

The previous prime is 13445005159. The next prime is 13445005253. The reversal of 13445005200 is 250054431.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11971839 + ... + 11972961.

Almost surely, 213445005200 is an apocalyptic number.

13445005200 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 13445005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23538933888).

13445005200 is an abundant number, since it is smaller than the sum of its proper divisors (33632862576).

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

13445005200 is a wasteful number, since it uses less digits than its factorization.

13445005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 13445005200 its reverse (250054431), we get a palindrome (13695059631).

The spelling of 13445005200 in words is "thirteen billion, four hundred forty-five million, five thousand, two hundred".