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197447331312 = 243271131574429
BaseRepresentation
bin1011011111100011000…
…1110010110111110000
3200212122102222200100200
42313320301302313300
511213333004100222
6230412301315200
720156633424150
oct2677061626760
9625572880320
10197447331312
1176811964460
1232324865b00
131580850ba2a
1497b1080760
1552092e2eac
hex2df8c72df0

197447331312 has 240 divisors, whose sum is σ = 711153530880. Its totient is φ = 49630579200.

The previous prime is 197447331307. The next prime is 197447331313. The reversal of 197447331312 is 213133744791.

197447331312 is a `hidden beast` number, since 197 + 447 + 3 + 3 + 1 + 3 + 12 = 666.

197447331312 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197447331313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56514 + ... + 630942.

It is an arithmetic number, because the mean of its divisors is an integer number (2963139712).

Almost surely, 2197447331312 is an apocalyptic number.

197447331312 is a gapful number since it is divisible by the number (12) 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 197447331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355576765440).

197447331312 is an abundant number, since it is smaller than the sum of its proper divisors (513706199568).

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

197447331312 is a wasteful number, since it uses less digits than its factorization.

197447331312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574492 (or 574483 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The spelling of 197447331312 in words is "one hundred ninety-seven billion, four hundred forty-seven million, three hundred thirty-one thousand, three hundred twelve".