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197093385216 = 21033721319231
BaseRepresentation
bin1011011110001110101…
…1100110010000000000
3200211201202222100121000
42313203223212100000
511212121401311331
6230313215132000
720145105063300
oct2674353462000
9624652870530
10197093385216
1176650094522
1232246214000
13157800a3680
14977a067600
1551d81ca0e6
hex2de3ae6400

197093385216 has 1584 divisors, whose sum is σ = 796628206080. Its totient is φ = 47656304640.

The previous prime is 197093385199. The next prime is 197093385227. The reversal of 197093385216 is 612583390791.

197093385216 is a `hidden beast` number, since 1 + 97 + 0 + 9 + 338 + 5 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 143 ways as a sum of consecutive naturals, for example, 6357851121 + ... + 6357851151.

Almost surely, 2197093385216 is an apocalyptic number.

197093385216 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 197093385216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398314103040).

197093385216 is an abundant number, since it is smaller than the sum of its proper divisors (599534820864).

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

197093385216 is a wasteful number, since it uses less digits than its factorization.

197093385216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 197093385216 in words is "one hundred ninety-seven billion, ninety-three million, three hundred eighty-five thousand, two hundred sixteen".