Search a number
-
+
195276907728 = 24337233141472
BaseRepresentation
bin1011010111011101101…
…0010010010011010000
3200200001011221201221000
42311313122102103100
511144411342021403
6225413045502000
720052100220460
oct2656732222320
9620034851830
10195276907728
11758a87a6061
1231a19a11900
1315550964616
149646b01ba0
15512d9b97a3
hex2d776924d0

195276907728 has 960 divisors, whose sum is σ = 722193776640. Its totient is φ = 49314355200.

The previous prime is 195276907711. The next prime is 195276907729. The reversal of 195276907728 is 827709672591.

195276907728 is a `hidden beast` number, since 19 + 527 + 6 + 9 + 0 + 77 + 28 = 666.

195276907728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1952769077282 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195276907729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4154827801 + ... + 4154827847.

It is an arithmetic number, because the mean of its divisors is an integer number (752285184).

Almost surely, 2195276907728 is an apocalyptic number.

195276907728 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 195276907728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361096888320).

195276907728 is an abundant number, since it is smaller than the sum of its proper divisors (526916868912).

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

195276907728 is a wasteful number, since it uses less digits than its factorization.

195276907728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 195276907728 in words is "one hundred ninety-five billion, two hundred seventy-six million, nine hundred seven thousand, seven hundred twenty-eight".