Search a number
-
+
45127786301 = 13149229101737
BaseRepresentation
bin101010000001110100…
…110101111100111101
311022111000220001220122
4222001310311330331
51214410203130201
632421553024325
73155210566043
oct520164657475
9138430801818
1045127786301
1118158505864
1288b52550a5
134342533140
142281614393
151291c80e1b
hexa81d35f3d

45127786301 has 16 divisors (see below), whose sum is σ = 49139454000. Its totient is φ = 41195755008.

The previous prime is 45127786273. The next prime is 45127786343. The reversal of 45127786301 is 10368772154.

It can be written as a sum of positive squares in 8 ways, for example, as 5490958201 + 39636828100 = 74101^2 + 199090^2 .

It is a cyclic number.

It is not a de Polignac number, because 45127786301 - 210 = 45127785277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45127786381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392705 + ... + 494441.

It is an arithmetic number, because the mean of its divisors is an integer number (3071215875).

Almost surely, 245127786301 is an apocalyptic number.

It is an amenable number.

45127786301 is a deficient number, since it is larger than the sum of its proper divisors (4011667699).

45127786301 is a wasteful number, since it uses less digits than its factorization.

45127786301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102128.

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 45127786301 in words is "forty-five billion, one hundred twenty-seven million, seven hundred eighty-six thousand, three hundred one".

Divisors: 1 13 149 229 1937 2977 34121 101737 443573 1322581 15158813 23297773 197064569 302871049 3471368177 45127786301