Search a number
-
+
45152760270 = 23523711675519
BaseRepresentation
bin101010000011010100…
…000111000111001110
311022112202212212202110
4222003110013013032
51214433101312040
632424244204450
73155633062332
oct520324070716
9138482785673
1045152760270
1118170613102
128901699726
134347768537
142284a757c2
151294065980
hexa835071ce

45152760270 has 128 divisors (see below), whose sum is σ = 115378421760. Its totient is φ = 11284972160.

The previous prime is 45152760259. The next prime is 45152760271. The reversal of 45152760270 is 7206725154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45152760271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8178571 + ... + 8184089.

It is an arithmetic number, because the mean of its divisors is an integer number (901393920).

Almost surely, 245152760270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45152760270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57689210880).

45152760270 is an abundant number, since it is smaller than the sum of its proper divisors (70225661490).

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

45152760270 is a wasteful number, since it uses less digits than its factorization.

45152760270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5790.

The product of its (nonzero) digits is 117600, while the sum is 39.

The spelling of 45152760270 in words is "forty-five billion, one hundred fifty-two million, seven hundred sixty thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 71 115 138 142 167 213 230 334 345 355 426 501 690 710 835 1002 1065 1633 1670 2130 2505 3266 3841 4899 5010 5519 7682 8165 9798 11038 11523 11857 16330 16557 19205 23046 23714 24495 27595 33114 35571 38410 48990 55190 57615 59285 71142 82785 115230 118570 126937 165570 177855 253874 272711 355710 380811 391849 545422 634685 761622 783698 818133 921673 1175547 1269370 1363555 1636266 1843346 1904055 1959245 2351094 2727110 2765019 3808110 3918490 4090665 4608365 5530038 5877735 8181330 9012527 9216730 11755470 13825095 18025054 21198479 27037581 27650190 42396958 45062635 54075162 63595437 65438783 90125270 105992395 127190874 130877566 135187905 196316349 211984790 270375810 317977185 327193915 392632698 635954370 654387830 981581745 1505092009 1963163490 3010184018 4515276027 7525460045 9030552054 15050920090 22576380135 45152760270