Search a number
-
+
195426544680 = 23325757717109
BaseRepresentation
bin1011011000000001010…
…1000110110000101000
3200200102121112002020100
42312000111012300220
511200213143412210
6225435553025400
720055565136013
oct2660025066050
9620377462210
10195426544680
117597520a564
1231a5bb55260
13155759671b3
14965c93437a
15513bbc65c0
hex2d80546c28

195426544680 has 96 divisors (see below), whose sum is σ = 635976174600. Its totient is φ = 52044830208.

The previous prime is 195426544661. The next prime is 195426544681. The reversal of 195426544680 is 86445624591.

It is a happy number.

195426544680 is a `hidden beast` number, since 1 + 9 + 542 + 6 + 54 + 46 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 177525710244 + 17900834436 = 421338^2 + 133794^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (195426544681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86035 + ... + 631074.

Almost surely, 2195426544680 is an apocalyptic number.

195426544680 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 195426544680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317988087300).

195426544680 is an abundant number, since it is smaller than the sum of its proper divisors (440549629920).

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

195426544680 is a wasteful number, since it uses less digits than its factorization.

195426544680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717883 (or 717876 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 195426544680 in words is "one hundred ninety-five billion, four hundred twenty-six million, five hundred forty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 757 1514 2271 3028 3785 4542 6056 6813 7570 9084 11355 13626 15140 18168 22710 27252 30280 34065 45420 54504 68130 90840 136260 272520 717109 1434218 2151327 2868436 3585545 4302654 5736872 6453981 7171090 8605308 10756635 12907962 14342180 17210616 21513270 25815924 28684360 32269905 43026540 51631848 64539810 86053080 129079620 258159240 542851513 1085703026 1628554539 2171406052 2714257565 3257109078 4342812104 4885663617 5428515130 6514218156 8142772695 9771327234 10857030260 13028436312 16285545390 19542654468 21714060520 24428318085 32571090780 39085308936 48856636170 65142181560 97713272340 195426544680