Search a number
-
+
274382072180 = 225101233582973
BaseRepresentation
bin1111111110001001110…
…0100010100101110100
3222020020011021110022122
43333202130202211310
513443413302302210
6330014400015112
725552305063206
oct3774234424564
9866204243278
10274382072180
11a6401587a27
1245216001498
131cb49590638
14d3ccaa6776
15720d62bb55
hex3fe2722974

274382072180 has 48 divisors (see below), whose sum is σ = 584405784144. Its totient is φ = 108199603200.

The previous prime is 274382072161. The next prime is 274382072219. The reversal of 274382072180 is 81270283472.

It can be written as a sum of positive squares in 8 ways, for example, as 16452166756 + 257929905424 = 128266^2 + 507868^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179174 + ... + 762146.

It is an arithmetic number, because the mean of its divisors is an integer number (12175120503).

Almost surely, 2274382072180 is an apocalyptic number.

274382072180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

274382072180 is an abundant number, since it is smaller than the sum of its proper divisors (310023711964).

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

274382072180 is a wasteful number, since it uses less digits than its factorization.

274382072180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583316 (or 583314 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 44.

The spelling of 274382072180 in words is "two hundred seventy-four billion, three hundred eighty-two million, seventy-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 101 202 233 404 466 505 932 1010 1165 2020 2330 4660 23533 47066 94132 117665 235330 470660 582973 1165946 2331892 2914865 5829730 11659460 58880273 117760546 135832709 235521092 271665418 294401365 543330836 588802730 679163545 1177605460 1358327090 2716654180 13719103609 27438207218 54876414436 68595518045 137191036090 274382072180