Search a number
-
+
197306532864 = 21032726612
BaseRepresentation
bin1011011111000001100…
…0101100010000000000
3200212021122001101012100
42313300120230100000
511213040433022424
6230350311430400
720153303600100
oct2676030542000
9625248041170
10197306532864
117674a437501
12322a5685400
13157b52b213c
14979a4ad200
1551ebc7edc9
hex2df062c400

197306532864 has 297 divisors, whose sum is σ = 663737709141. Its totient is φ = 56288010240.

The previous prime is 197306532803. The next prime is 197306532893. The reversal of 197306532864 is 468235603791.

The square root of 197306532864 is 444192.

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

197306532864 is a `hidden beast` number, since 1 + 9 + 7 + 306 + 5 + 328 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 156663972864 + 40642560000 = 395808^2 + 201600^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 197306532864.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 298496694 + ... + 298497354.

It is a 2-persistent number, because it is pandigital, and so is 2⋅197306532864 = 394613065728, but 3⋅197306532864 = 591919598592 is not.

Almost surely, 2197306532864 is an apocalyptic number.

197306532864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

197306532864 is the 444192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197306532864

197306532864 is an abundant number, since it is smaller than the sum of its proper divisors (466431176277).

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

197306532864 is an frugal number, since it uses more digits than its factorization.

197306532864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 197306532864 in words is "one hundred ninety-seven billion, three hundred six million, five hundred thirty-two thousand, eight hundred sixty-four".