Search a number
-
+
195041566720 = 2135711136771
BaseRepresentation
bin1011010110100101100…
…0100010000000000000
3200122102210010011202101
42311221120202000000
511143421120113340
6225333441400144
720043211651210
oct2655130420000
9618383104671
10195041566720
1175797974960
1231973039054
1315513c852a0
149623760240
155117ecdc9a
hex2d69622000

195041566720 has 896 divisors, whose sum is σ = 646822858752. Its totient is φ = 54499737600.

The previous prime is 195041566717. The next prime is 195041566751. The reversal of 195041566720 is 27665140591.

It is a tau number, because it is divible by the number of its divisors (896).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2747064285 + ... + 2747064355.

It is an arithmetic number, because the mean of its divisors is an integer number (721900512).

Almost surely, 2195041566720 is an apocalyptic number.

195041566720 is a gapful number since it is divisible by the number (10) 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 195041566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323411429376).

195041566720 is an abundant number, since it is smaller than the sum of its proper divisors (451781292032).

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

195041566720 is a wasteful number, since it uses less digits than its factorization.

195041566720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 195041566720 in words is "one hundred ninety-five billion, forty-one million, five hundred sixty-six thousand, seven hundred twenty".