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12323200306816 = 27713753571771
BaseRepresentation
bin1011001101010011011111…
…1110100000111010000000
31121122002100000110211102101
42303110313332200322000
53103400403234304231
642113111114200144
72411215251210340
oct263246776407200
947562300424371
1012323200306816
113a21270342a93
12147039aa23054
136b50c3c41499
14308636070d20
1516584c2a9661
hexb3537fa0e80

12323200306816 has 32 divisors (see below), whose sum is σ = 28057286414880. Its totient is φ = 5281371559680.

The previous prime is 12323200306793. The next prime is 12323200306817. The reversal of 12323200306816 is 61860300232321.

12323200306816 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 (32).

It is a super-2 number, since 2×123232003068162 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12323200306817) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6876784990 + ... + 6876786781.

It is an arithmetic number, because the mean of its divisors is an integer number (876790200465).

Almost surely, 212323200306816 is an apocalyptic number.

12323200306816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12323200306816 is an abundant number, since it is smaller than the sum of its proper divisors (15734086108064).

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

12323200306816 is an equidigital number, since it uses as much as digits as its factorization.

12323200306816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13753571792 (or 13753571780 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 12323200306816 in words is "twelve trillion, three hundred twenty-three billion, two hundred million, three hundred six thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 13753571771 27507143542 55014287084 96275002397 110028574168 192550004794 220057148336 385100009588 440114296672 770200019176 880228593344 1540400038352 1760457186688 3080800076704 6161600153408 12323200306816