Search a number
-
+
243077180208 = 24389105154139
BaseRepresentation
bin1110001001100010000…
…1110110101100110000
3212020102110121011200020
43202120201312230300
512440310224231313
6303400151323440
723363451640452
oct3423041665460
9766373534606
10243077180208
11940a7805285
123b13a080580
1319bcaa69a15
14ba9d2262d2
1564ca198323
hex3898876b30

243077180208 has 80 divisors (see below), whose sum is σ = 635620924800. Its totient is φ = 80037619200.

The previous prime is 243077180131. The next prime is 243077180209. The reversal of 243077180208 is 802081770342.

It is a self number, because there is not a number n which added to its sum of digits gives 243077180208.

It is not an unprimeable number, because it can be changed into a prime (243077180209) 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 15 ways as a sum of consecutive naturals, for example, 4462803 + ... + 4516941.

It is an arithmetic number, because the mean of its divisors is an integer number (7945261560).

Almost surely, 2243077180208 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 243077180208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317810462400).

243077180208 is an abundant number, since it is smaller than the sum of its proper divisors (392543744592).

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

243077180208 is a wasteful number, since it uses less digits than its factorization.

243077180208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55290 (or 55284 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 243077180208 in words is "two hundred forty-three billion, seventy-seven million, one hundred eighty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1051 1068 1424 2102 2136 3153 4204 4272 6306 8408 12612 16816 25224 50448 54139 93539 108278 162417 187078 216556 280617 324834 374156 433112 561234 649668 748312 866224 1122468 1299336 1496624 2244936 2598672 4489872 4818371 9636742 14455113 19273484 28910226 38546968 56900089 57820452 77093936 113800178 115640904 170700267 227600356 231281808 341400534 455200712 682801068 910401424 1365602136 2731204272 5064107921 10128215842 15192323763 20256431684 30384647526 40512863368 60769295052 81025726736 121538590104 243077180208