Search a number
-
+
180395572900 = 2252424732
BaseRepresentation
bin1010100000000001101…
…0011111111010100100
3122020122002002121020211
42220000122133322210
510423422231313100
6214512251105204
716014241032604
oct2500032377244
9566562077224
10180395572900
116a561663a34
122ab66142204
131401b895a5a
148a3456ac04
154a5c2e51ba
hex2a0069fea4

180395572900 has 27 divisors (see below), whose sum is σ = 391467610051. Its totient is φ = 72156530240.

The previous prime is 180395572867. The next prime is 180395572901. The reversal of 180395572900 is 9275593081.

The square root of 180395572900 is 424730.

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 42314958436 + 138080614464 = 205706^2 + 371592^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180395572901) by changing a digit.

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, 4226064 + ... + 4268536.

Almost surely, 2180395572900 is an apocalyptic number.

180395572900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180395572900 is the 424730-th square number.

It is an amenable number.

180395572900 is an abundant number, since it is smaller than the sum of its proper divisors (211072037151).

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

180395572900 is an frugal number, since it uses more digits than its factorization.

180395572900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84960 (or 42480 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 49.

Multiplying 180395572900 by its sum of digits (49), we get a square (8839383072100 = 29731102).

The spelling of 180395572900 in words is "one hundred eighty billion, three hundred ninety-five million, five hundred seventy-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 42473 84946 169892 212365 424730 849460 1061825 2123650 4247300 1803955729 3607911458 7215822916 9019778645 18039557290 36079114580 45098893225 90197786450 180395572900