Search a number
-
+
195768224261568 = 263272315152326731
BaseRepresentation
bin101100100000110011010111…
…011101110010010111000000
3221200011021000010222220120200
4230200303113131302113000
5201124431310402332233
61532210403005005200
756143534045116510
oct5440632735622700
9850137003886520
10195768224261568
1157417923a23a32
1219b5923a253800
138530b30c351ba
14364b3383d9840
1517975aa1c1313
hexb20cd77725c0

195768224261568 has 672 divisors, whose sum is σ = 674923623309312. Its totient is φ = 53043952896000.

The previous prime is 195768224261539. The next prime is 195768224261573. The reversal of 195768224261568 is 865162422867591.

It is a happy number.

195768224261568 is a `hidden beast` number, since 1 + 9 + 5 + 76 + 82 + 2 + 426 + 1 + 56 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 195768224261496 and 195768224261505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7323626763 + ... + 7323653493.

Almost surely, 2195768224261568 is an apocalyptic number.

195768224261568 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 195768224261568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337461811654656).

195768224261568 is an abundant number, since it is smaller than the sum of its proper divisors (479155399047744).

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

195768224261568 is a wasteful number, since it uses less digits than its factorization.

195768224261568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27453 (or 27440 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 72.

The spelling of 195768224261568 in words is "one hundred ninety-five trillion, seven hundred sixty-eight billion, two hundred twenty-four million, two hundred sixty-one thousand, five hundred sixty-eight".