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13452795300 = 223527171392711
BaseRepresentation
bin11001000011101100…
…10101110110100100
31021201112210210211210
430201312111312210
5210022403422200
610102524031420
7654241605360
oct144166256644
937645723753
1013452795300
11578383024a
122735392570
131365139b09
149189542a0
1553b093650
hex321d95da4

13452795300 has 288 divisors, whose sum is σ = 47456962560. Its totient is φ = 2872166400.

The previous prime is 13452795287. The next prime is 13452795311. The reversal of 13452795300 is 359725431.

It is a happy number.

13452795300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4960945 + ... + 4963655.

It is an arithmetic number, because the mean of its divisors is an integer number (164781120).

Almost surely, 213452795300 is an apocalyptic number.

13452795300 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 13452795300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23728481280).

13452795300 is an abundant number, since it is smaller than the sum of its proper divisors (34004167260).

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

13452795300 is a wasteful number, since it uses less digits than its factorization.

13452795300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 13452795300 in words is "thirteen billion, four hundred fifty-two million, seven hundred ninety-five thousand, three hundred".