Search a number
-
+
45183468340 = 2253761058741
BaseRepresentation
bin101010000101001001…
…010000001100110100
311022121220200000022101
4222011021100030310
51220013431441330
632431302311444
73156455100253
oct520511201464
9138556600271
1045183468340
111818698757a
12890ba28584
134350c2a8aa
142288b8a79a
151296ace4ca
hexa85250334

45183468340 has 24 divisors (see below), whose sum is σ = 97449752232. Its totient is φ = 17584917120.

The previous prime is 45183468313. The next prime is 45183468349. The reversal of 45183468340 is 4386438154.

It can be written as a sum of positive squares in 4 ways, for example, as 3190442256 + 41993026084 = 56484^2 + 204922^2 .

It is a super-2 number, since 2×451834683402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45183468349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30528631 + ... + 30530110.

It is an arithmetic number, because the mean of its divisors is an integer number (4060406343).

Almost surely, 245183468340 is an apocalyptic number.

It is an amenable number.

45183468340 is an abundant number, since it is smaller than the sum of its proper divisors (52266283892).

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

45183468340 is a wasteful number, since it uses less digits than its factorization.

45183468340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61058787 (or 61058785 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 45183468340 in words is "forty-five billion, one hundred eighty-three million, four hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 61058741 122117482 244234964 305293705 610587410 1221174820 2259173417 4518346834 9036693668 11295867085 22591734170 45183468340