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197606234496 = 27311241472207
BaseRepresentation
bin1011100000001000111…
…1111101100110000000
3200220001111222210112210
42320002033331212000
511214144144000441
6230440135222120
720163603164556
oct2700217754600
9626044883483
10197606234496
1176893627800
1232369b17940
1315832407198
1497c8205bd6
155218230616
hex2e023fd980

197606234496 has 384 divisors, whose sum is σ = 603867156480. Its totient is φ = 57151283200.

The previous prime is 197606234477. The next prime is 197606234519. The reversal of 197606234496 is 694432606791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 89535025 + ... + 89537231.

It is an arithmetic number, because the mean of its divisors is an integer number (1572570720).

Almost surely, 2197606234496 is an apocalyptic number.

197606234496 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 197606234496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301933578240).

197606234496 is an abundant number, since it is smaller than the sum of its proper divisors (406260921984).

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

197606234496 is a wasteful number, since it uses less digits than its factorization.

197606234496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 197606234496 in words is "one hundred ninety-seven billion, six hundred six million, two hundred thirty-four thousand, four hundred ninety-six".