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12535320000 = 26354714923
BaseRepresentation
bin10111010110010100…
…11100110111000000
31012100121102020100010
423223022130313000
5201133020220000
65431511224520
7622431314310
oct135312346700
935317366303
1012535320000
1153529524a5
12251a078140
13124a035218
1486cb69440
154d5763d50
hex2eb29cdc0

12535320000 has 280 divisors, whose sum is σ = 47368537216. Its totient is φ = 2865024000.

The previous prime is 12535319983. The next prime is 12535320019. The reversal of 12535320000 is 2353521.

12535320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 832539 + ... + 847461.

Almost surely, 212535320000 is an apocalyptic number.

12535320000 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 12535320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23684268608).

12535320000 is an abundant number, since it is smaller than the sum of its proper divisors (34833217216).

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

12535320000 is an equidigital number, since it uses as much as digits as its factorization.

12535320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14965 (or 14940 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

Adding to 12535320000 its reverse (2353521), we get a palindrome (12537673521).

The spelling of 12535320000 in words is "twelve billion, five hundred thirty-five million, three hundred twenty thousand".