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197423640576 = 212341722971
BaseRepresentation
bin1011011111011101011…
…1011011000000000000
3200212120210102001210000
42313313113123000000
511213310422444301
6230410053440000
720156225154021
oct2676727330000
9625523361700
10197423640576
11767aa553238
1232318940000
1315803635746
1497abc74c48
1552071b3786
hex2df75db000

197423640576 has 780 divisors, whose sum is σ = 657225526320. Its totient is φ = 58958807040.

The previous prime is 197423640569. The next prime is 197423640587. The reversal of 197423640576 is 675046324791.

197423640576 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 2 + 3 + 64 + 0 + 576 = 666.

197423640576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1974236405762 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2780614621 + ... + 2780614691.

Almost surely, 2197423640576 is an apocalyptic number.

197423640576 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 197423640576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328612763160).

197423640576 is an abundant number, since it is smaller than the sum of its proper divisors (459801885744).

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

197423640576 is an equidigital number, since it uses as much as digits as its factorization.

197423640576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 197423640576 in words is "one hundred ninety-seven billion, four hundred twenty-three million, six hundred forty thousand, five hundred seventy-six".