Search a number
-
+
5506570506270 = 2351979445727437
BaseRepresentation
bin101000000100001100100…
…1011011101000000011110
3201111102102100220010210210
41100020121023131000132
51210204424022200040
615413403352313250
71105556644006461
oct120103113350036
921442370803723
105506570506270
111833361549629
1274b2633a2826
1330c36254ac72
1415073b4852d8
159838a0d1480
hex502192dd01e

5506570506270 has 128 divisors (see below), whose sum is σ = 14091103180800. Its totient is φ = 1373166093312.

The previous prime is 5506570506257. The next prime is 5506570506271. The reversal of 5506570506270 is 726050756055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5506570506271) 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 63 ways as a sum of consecutive naturals, for example, 200684992 + ... + 200712428.

It is an arithmetic number, because the mean of its divisors is an integer number (110086743600).

Almost surely, 25506570506270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5506570506270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045551590400).

5506570506270 is an abundant number, since it is smaller than the sum of its proper divisors (8584532674530).

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

5506570506270 is a wasteful number, since it uses less digits than its factorization.

5506570506270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32002.

The product of its (nonzero) digits is 2205000, while the sum is 48.

The spelling of 5506570506270 in words is "five trillion, five hundred six billion, five hundred seventy million, five hundred six thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 79 95 114 158 190 237 285 395 474 570 790 1185 1501 2370 3002 4457 4503 7505 8914 9006 13371 15010 22285 22515 26742 27437 44570 45030 54874 66855 82311 84683 133710 137185 164622 169366 254049 274370 352103 411555 423415 508098 521303 704206 823110 846830 1042606 1056309 1270245 1563909 1760515 2112618 2167523 2540490 2606515 3127818 3521030 4335046 5213030 5281545 6502569 6689957 7819545 10563090 10837615 13005138 13379914 15639090 20069871 21675230 32512845 33449785 40139742 41182937 65025690 66899570 82365874 100349355 122286709 123548811 200698710 205914685 244573418 247097622 366860127 411829370 611433545 617744055 733720254 1222867090 1235488110 1834300635 2323447471 3668601270 4646894942 6970342413 9660650011 11617237355 13940684826 19321300022 23234474710 28981950033 34851712065 48303250055 57963900066 69703424130 96606500110 144909750165 183552350209 289819500330 367104700418 550657050627 917761751045 1101314101254 1835523502090 2753285253135 5506570506270