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196577843641 = 2323725212
BaseRepresentation
bin1011011100010011110…
…0111101100110111001
3200210101211220010111121
42313010330331212321
511210042411444031
6230150121225241
720126245046524
oct2670474754671
9623354803447
10196577843641
1176406082503
1232121632221
13156ca33959a
14972b7c7bbb
1551a7ce2011
hex2dc4f3d9b9

196577843641 has 27 divisors (see below), whose sum is σ = 211606523373. Its totient is φ = 182597912640.

The previous prime is 196577843603. The next prime is 196577843647. The reversal of 196577843641 is 146348775691.

It is a happy number.

The square root of 196577843641 is 443371.

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 10640954025 + 185936889616 = 103155^2 + 431204^2 .

It is not a de Polignac number, because 196577843641 - 27 = 196577843513 is a prime.

It is a super-2 number, since 2×1965778436412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 196577843641.

It is not an unprimeable number, because it can be changed into a prime (196577843647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 377308461 + ... + 377308981.

Almost surely, 2196577843641 is an apocalyptic number.

196577843641 is the 443371-st square number.

196577843641 is the 221686-th centered octagonal number.

It is an amenable number.

196577843641 is a deficient number, since it is larger than the sum of its proper divisors (15028679732).

196577843641 is an frugal number, since it uses more digits than its factorization.

196577843641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 581 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 61.

The spelling of 196577843641 in words is "one hundred ninety-six billion, five hundred seventy-seven million, eight hundred forty-three thousand, six hundred forty-one".

Divisors: 1 23 37 521 529 851 1369 11983 19277 19573 31487 271441 275609 443371 713249 724201 6243143 10043317 10197533 16404727 143592289 230996291 371602729 377308721 5312914693 8546862767 196577843641