Search a number
-
+
201949574544 = 2438192732
BaseRepresentation
bin1011110000010100100…
…0011111010110010000
3201022021012202100000000
42330011020133112100
511302043042341134
6232435132130000
720406333026544
oct2740510372620
9638235670000
10201949574544
11787122a7433
1233180606900
13160751bc593
149abadb1a24
1553be6c5e99
hex2f0521f590

201949574544 has 405 divisors, whose sum is σ = 628001771553. Its totient is φ = 62899939584.

The previous prime is 201949574501. The next prime is 201949574549. The reversal of 201949574544 is 445475949102.

The square root of 201949574544 is 449388.

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

201949574544 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 4 + 95 + 7 + 4 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114636416400 + 87313158144 = 338580^2 + 295488^2 .

It is a super-2 number, since 2×2019495745442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (201949574549) 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 80 ways as a sum of consecutive naturals, for example, 2766432492 + ... + 2766432564.

Almost surely, 2201949574544 is an apocalyptic number.

201949574544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

201949574544 is the 449388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201949574544

201949574544 is an abundant number, since it is smaller than the sum of its proper divisors (426052197009).

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

201949574544 is an frugal number, since it uses more digits than its factorization.

201949574544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 201949574544 in words is "two hundred one billion, nine hundred forty-nine million, five hundred seventy-four thousand, five hundred forty-four".