Search a number
-
+
5505566256 = 2432372633929
BaseRepresentation
bin1010010000010100…
…00100011000110000
3112012200200202002100
411020022010120300
542233411110011
62310151220400
7253301353401
oct51012043060
915180622070
105505566256
112375826463
121097977700
13699812418
143a32a59a8
1522351dd56
hex148284630

5505566256 has 120 divisors (see below), whose sum is σ = 15888581280. Its totient is φ = 1778347008.

The previous prime is 5505566249. The next prime is 5505566273. The reversal of 5505566256 is 6526655055.

It is a super-2 number, since 2×55055662562 = 60622519598411715072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1399300 + ... + 1403228.

It is an arithmetic number, because the mean of its divisors is an integer number (132404844).

Almost surely, 25505566256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5505566256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7944290640).

5505566256 is an abundant number, since it is smaller than the sum of its proper divisors (10383015024).

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

5505566256 is a wasteful number, since it uses less digits than its factorization.

5505566256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4243 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The square root of 5505566256 is about 74199.5030711123. The cubic root of 5505566256 is about 1765.7694463644.

The spelling of 5505566256 in words is "five billion, five hundred five million, five hundred sixty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 263 296 333 444 526 592 666 789 888 1052 1332 1578 1776 2104 2367 2664 3156 3929 4208 4734 5328 6312 7858 9468 9731 11787 12624 15716 18936 19462 23574 29193 31432 35361 37872 38924 47148 58386 62864 70722 77848 87579 94296 116772 141444 145373 155696 175158 188592 233544 282888 290746 350316 436119 467088 565776 581492 700632 872238 1033327 1162984 1308357 1401264 1744476 2066654 2325968 2616714 3099981 3488952 4133308 5233428 6199962 6977904 8266616 9299943 10466856 12399924 16533232 18599886 20933712 24799848 37199772 38233099 49599696 74399544 76466198 114699297 148799088 152932396 229398594 305864792 344097891 458797188 611729584 688195782 917594376 1376391564 1835188752 2752783128 5505566256