Search a number
-
+
195328143360 = 2123757289
BaseRepresentation
bin1011010111101001110…
…1101111000000000000
3200200011202100210000000
42311322131233000000
511200013001041420
6225422120000000
720053261552500
oct2657235570000
9620152323000
10195328143360
1175924710159
1231a33000000
131555b46326c
14964d83ba00
15513323a690
hex2d7a76f000

195328143360 has 1248 divisors, whose sum is σ = 826950254400. Its totient is φ = 44144787456.

The previous prime is 195328143349. The next prime is 195328143473. The reversal of 195328143360 is 63341823591.

195328143360 is a `hidden beast` number, since 1 + 9 + 5 + 3 + 281 + 4 + 3 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2194698196 + ... + 2194698284.

Almost surely, 2195328143360 is an apocalyptic number.

195328143360 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 195328143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413475127200).

195328143360 is an abundant number, since it is smaller than the sum of its proper divisors (631622111040).

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

195328143360 is an frugal number, since it uses more digits than its factorization.

195328143360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 195328143360 in words is "one hundred ninety-five billion, three hundred twenty-eight million, one hundred forty-three thousand, three hundred sixty".