Search a number
-
+
44947816081 = 723129772
BaseRepresentation
bin101001110111000110…
…010011111010010001
311022000111020122011221
4221313012103322101
51214023120103311
632352043405041
73150564063400
oct516706237221
9138014218157
1044947816081
1118075963543
128864b23781
13431416c99c
142265767637
151281081671
hexa77193e91

44947816081 has 27 divisors (see below), whose sum is σ = 54082651707. Its totient is φ = 37245741120.

The previous prime is 44947816073. The next prime is 44947816087. The reversal of 44947816081 is 18061874944.

The square root of 44947816081 is 212009.

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., 42051654225 + 2896161856 = 205065^2 + 53816^2 .

It is not a de Polignac number, because 44947816081 - 23 = 44947816073 is a prime.

It is a super-2 number, since 2×449478160812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44947816087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46005465 + ... + 46006441.

Almost surely, 244947816081 is an apocalyptic number.

44947816081 is the 212009-th square number.

44947816081 is the 106005-th centered octagonal number.

It is an amenable number.

44947816081 is a deficient number, since it is larger than the sum of its proper divisors (9134835626).

44947816081 is an frugal number, since it uses more digits than its factorization.

44947816081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 44947816081 in words is "forty-four billion, nine hundred forty-seven million, eight hundred sixteen thousand, eighty-one".

Divisors: 1 7 31 49 217 961 977 1519 6727 6839 30287 47089 47873 212009 938897 954529 1484063 6572279 6681703 29590399 46005953 46771921 207132793 917302369 1449929551 6421116583 44947816081