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197940822768 = 24331323318191
BaseRepresentation
bin1011100001011000110…
…0010100001011110000
3200220220211120122101000
42320112030110023300
511220340322312033
6230533250442000
720205105142563
oct2702614241360
9626824518330
10197940822768
1176a45485937
1232441b93300
1315886825500
14981a8204da
1552377c2a13
hex2e163142f0

197940822768 has 240 divisors, whose sum is σ = 617164308480. Its totient is φ = 60713452800.

The previous prime is 197940822763. The next prime is 197940822769. The reversal of 197940822768 is 867228049791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197940822763) 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, 24161553 + ... + 24169743.

It is an arithmetic number, because the mean of its divisors is an integer number (2571517952).

Almost surely, 2197940822768 is an apocalyptic number.

197940822768 is a gapful number since it is divisible by the number (18) 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 197940822768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308582154240).

197940822768 is an abundant number, since it is smaller than the sum of its proper divisors (419223485712).

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

197940822768 is a wasteful number, since it uses less digits than its factorization.

197940822768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8565 (or 8540 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 197940822768 in words is "one hundred ninety-seven billion, nine hundred forty million, eight hundred twenty-two thousand, seven hundred sixty-eight".