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12327572736 = 2835533739
BaseRepresentation
bin10110111101100011…
…11101010100000000
31011211010111120200000
423132301331110000
5200221324311421
65355130400000
7614326432203
oct133661752400
934733446600
1012327572736
115256658946
122480590000
131215c9784b
1484d32b93a
154c23c9226
hex2dec7d500

12327572736 has 216 divisors, whose sum is σ = 37565367840. Its totient is φ = 4030580736.

The previous prime is 12327572693. The next prime is 12327572753. The reversal of 12327572736 is 63727572321.

It is a happy number.

12327572736 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 7 + 572 + 73 + 6 = 666.

12327572736 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 (216).

It is a super-2 number, since 2×123275727362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12327572691 and 12327572700.

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 23 ways as a sum of consecutive naturals, for example, 3295155 + ... + 3298893.

It is an arithmetic number, because the mean of its divisors is an integer number (173913740).

Almost surely, 212327572736 is an apocalyptic number.

12327572736 is a gapful number since it is divisible by the number (16) 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 12327572736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18782683920).

12327572736 is an abundant number, since it is smaller than the sum of its proper divisors (25237795104).

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

12327572736 is an frugal number, since it uses more digits than its factorization.

12327572736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3797 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The spelling of 12327572736 in words is "twelve billion, three hundred twenty-seven million, five hundred seventy-two thousand, seven hundred thirty-six".