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12710363820 = 223572111761379
BaseRepresentation
bin10111101011001100…
…01100001010101100
31012210210210101022120
423311212030022230
5202012323120240
65501123112540
7626655211200
oct136546141254
935723711276
1012710363820
11543273a510
122568812750
13127739224b
148880d2b00
154e5cddad0
hex2f598c2ac

12710363820 has 576 divisors, whose sum is σ = 48731880960. Its totient is φ = 2438553600.

The previous prime is 12710363819. The next prime is 12710363843. The reversal of 12710363820 is 2836301721.

12710363820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 191 ways as a sum of consecutive naturals, for example, 33536391 + ... + 33536769.

It is an arithmetic number, because the mean of its divisors is an integer number (84603960).

Almost surely, 212710363820 is an apocalyptic number.

12710363820 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 12710363820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24365940480).

12710363820 is an abundant number, since it is smaller than the sum of its proper divisors (36021517140).

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

12710363820 is a wasteful number, since it uses less digits than its factorization.

12710363820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 12710363820 in words is "twelve billion, seven hundred ten million, three hundred sixty-three thousand, eight hundred twenty".