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195495738201 = 3219277572
BaseRepresentation
bin1011011000010001110…
…1000011101101011001
3200200121102201110220100
42312010131003231121
511200333402110301
6225450504050013
720060365233261
oct2660435035531
9620542643810
10195495738201
1175a0027a695
1231a7b163909
13155870b28ca
149667bc67a1
155142ce3286
hex2d84743b59

195495738201 has 27 divisors (see below), whose sum is σ = 298065631071. Its totient is φ = 123455075184.

The previous prime is 195495738181. The next prime is 195495738211. The reversal of 195495738201 is 102837594591.

It is a happy number.

The square root of 195495738201 is 442149.

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

195495738201 is a `hidden beast` number, since 1 + 9 + 5 + 49 + 573 + 8 + 20 + 1 = 666.

195495738201 is digitally balanced in base 2, 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., 160796990025 + 34698748176 = 400995^2 + 186276^2 .

It is not a de Polignac number, because 195495738201 - 27 = 195495738073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (195495738211) 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 26 ways as a sum of consecutive naturals, for example, 25198615 + ... + 25206371.

Almost surely, 2195495738201 is an apocalyptic number.

195495738201 is the 442149-th square number.

195495738201 is the 221075-th centered octagonal number.

It is an amenable number.

195495738201 is a deficient number, since it is larger than the sum of its proper divisors (102569892870).

195495738201 is an frugal number, since it uses more digits than its factorization.

195495738201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15558 (or 7779 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 195495738201 in words is "one hundred ninety-five billion, four hundred ninety-five million, seven hundred thirty-eight thousand, two hundred one".

Divisors: 1 3 9 19 57 171 361 1083 3249 7757 23271 69813 147383 442149 1326447 2800277 8400831 25202493 60171049 180513147 541539441 1143249931 3429749793 10289249379 21721748689 65165246067 195495738201