Search a number
-
+
195389418240 = 28355733857
BaseRepresentation
bin1011010111111000011…
…1011110101100000000
3200200100000122212100000
42311332013132230000
511200124142340430
6225432145200000
720054634436452
oct2657607365400
9620300585300
10195389418240
1175956261955
1231a4b630000
131556b0685a3
149657a2c2d2
1551387e0e60
hex2d7e1deb00

195389418240 has 432 divisors, whose sum is σ = 702840666528. Its totient is φ = 51972046848.

The previous prime is 195389418209. The next prime is 195389418253. The reversal of 195389418240 is 42814983591.

It is a happy number.

195389418240 is a `hidden beast` number, since 1 + 9 + 5 + 389 + 4 + 18 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227991892 + ... + 227992748.

Almost surely, 2195389418240 is an apocalyptic number.

195389418240 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 195389418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351420333264).

195389418240 is an abundant number, since it is smaller than the sum of its proper divisors (507451248288).

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

195389418240 is an frugal number, since it uses more digits than its factorization.

195389418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 195389418240 in words is "one hundred ninety-five billion, three hundred eighty-nine million, four hundred eighteen thousand, two hundred forty".