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195974436100 = 2252442692
BaseRepresentation
bin1011011010000011111…
…1001001010100000100
3200201211210110211222011
42312200333021110010
511202323423423400
6230010204144004
720105300136052
oct2664077112404
9621753424864
10195974436100
1176126507493
1231b93538004
13156323199c1
1496b15d51d2
15516ed4e8ba
hex2da0fc9504

195974436100 has 27 divisors (see below), whose sum is σ = 425274132927. Its totient is φ = 78388003680.

The previous prime is 195974436083. The next prime is 195974436121. The reversal of 195974436100 is 1634479591.

The square root of 195974436100 is 442690.

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

It can be written as a sum of positive squares in 4 ways, for example, as 48358648836 + 147615787264 = 219906^2 + 384208^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4404766 + ... + 4449034.

Almost surely, 2195974436100 is an apocalyptic number.

195974436100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

195974436100 is the 442690-th square number.

It is an amenable number.

195974436100 is an abundant number, since it is smaller than the sum of its proper divisors (229299696827).

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

195974436100 is an frugal number, since it uses more digits than its factorization.

195974436100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88552 (or 44276 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 195974436100 by its sum of digits (49), we get a square (9602747368900 = 30988302).

The spelling of 195974436100 in words is "one hundred ninety-five billion, nine hundred seventy-four million, four hundred thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 44269 88538 177076 221345 442690 885380 1106725 2213450 4426900 1959744361 3919488722 7838977444 9798721805 19597443610 39194887220 48993609025 97987218050 195974436100