Search a number
-
+
196259632144 = 241107532
BaseRepresentation
bin1011011011000111111…
…1000101010000010000
3200202120200010022101121
42312301333011100100
511203414431212034
6230054353012024
720115332230312
oct2666177052020
9622520108347
10196259632144
117626249a4a4
1232052b54014
1315679433464
1496db4337b2
155189dd71b4
hex2db1fc5410

196259632144 has 15 divisors (see below), whose sum is σ = 380256470653. Its totient is φ = 98128930048.

The previous prime is 196259632117. The next prime is 196259632157. The reversal of 196259632144 is 441236952691.

It is a happy number.

The square root of 196259632144 is 443012.

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

It can be written as a sum of positive squares in only one way, i.e., 192527888400 + 3731743744 = 438780^2 + 61088^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 196259632091 and 196259632100.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1716672 + ... + 1827424.

Almost surely, 2196259632144 is an apocalyptic number.

196259632144 is the 443012-nd square number.

It is an amenable number.

196259632144 is a deficient number, since it is larger than the sum of its proper divisors (183996838509).

196259632144 is an frugal number, since it uses more digits than its factorization.

196259632144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221514 (or 110755 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 52.

The spelling of 196259632144 in words is "one hundred ninety-six billion, two hundred fifty-nine million, six hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 110753 221506 443012 886024 1772048 12266227009 24532454018 49064908036 98129816072 196259632144