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13212904320 = 27325711313
BaseRepresentation
bin11000100111000110…
…01110101110000000
31021002211102002021200
430103203032232000
5204030000414240
610023034221200
7645266555640
oct142343165600
937084362250
1013212904320
115670381640
122688b84800
1313275267a5
148d4b4a520
15524ea9930
hex3138ceb80

13212904320 has 768 divisors, whose sum is σ = 58780200960. Its totient is φ = 2656972800.

The previous prime is 13212904307. The next prime is 13212904321. The reversal of 13212904320 is 2340921231.

It is a happy number.

13212904320 is a `hidden beast` number, since 13 + 212 + 9 + 0 + 432 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212904321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 426222705 + ... + 426222735.

It is an arithmetic number, because the mean of its divisors is an integer number (76536720).

Almost surely, 213212904320 is an apocalyptic number.

13212904320 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 13212904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29390100480).

13212904320 is an abundant number, since it is smaller than the sum of its proper divisors (45567296640).

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

13212904320 is an equidigital number, since it uses as much as digits as its factorization.

13212904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 13212904320 in words is "thirteen billion, two hundred twelve million, nine hundred four thousand, three hundred twenty".