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195845191936 = 2817216272
BaseRepresentation
bin1011011001100101001…
…0000111100100000000
3200201111210021120022021
42312121102013210000
511202042332120221
6225545310051224
720102140443652
oct2663122074400
9621453246267
10195845191936
117606a561429
1231b581a9b14
1315611607274
14969c3906d2
155163820041
hex2d99487900

195845191936 has 81 divisors (see below), whose sum is σ = 415529051889. Its totient is φ = 92105797632.

The previous prime is 195845191933. The next prime is 195845191957. The reversal of 195845191936 is 639191548591.

The square root of 195845191936 is 442544.

It is a perfect power (a square), and thus also a powerful number.

195845191936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 152474630400 + 43370561536 = 390480^2 + 208256^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (195845191931) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 120371155 + ... + 120372781.

Almost surely, 2195845191936 is an apocalyptic number.

195845191936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

195845191936 is the 442544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195845191936

195845191936 is an abundant number, since it is smaller than the sum of its proper divisors (219683859953).

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

195845191936 is an frugal number, since it uses more digits than its factorization.

195845191936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 1646 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 61.

The spelling of 195845191936 in words is "one hundred ninety-five billion, eight hundred forty-five million, one hundred ninety-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 544 578 1088 1156 1627 2176 2312 3254 4352 4624 6508 9248 13016 18496 26032 27659 36992 52064 55318 73984 104128 110636 208256 221272 416512 442544 470203 885088 940406 1770176 1880812 2647129 3540352 3761624 5294258 7080704 7523248 10588516 15046496 21177032 30092992 42354064 45001193 60185984 84708128 90002386 120371968 169416256 180004772 338832512 360009544 677665024 720019088 765020281 1440038176 1530040562 2880076352 3060081124 5760152704 6120162248 11520305408 12240324496 24480648992 48961297984 97922595968 195845191936