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2878269680 = 24511132310939
BaseRepresentation
bin1010101110001110…
…1110100011110000
321102120222020201202
42223203232203300
521343314112210
61153335150332
7131216613536
oct25343564360
97376866652
102878269680
111247787680
12683b153a8
1336b402b70
141d439a156
1511ca4a9a5
hexab8ee8f0

2878269680 has 160 divisors (see below), whose sum is σ = 8204474880. Its totient is φ = 924042240.

The previous prime is 2878269671. The next prime is 2878269721. The reversal of 2878269680 is 869628782.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 257651 + ... + 268589.

It is an arithmetic number, because the mean of its divisors is an integer number (51277968).

Almost surely, 22878269680 is an apocalyptic number.

2878269680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2878269680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102237440).

2878269680 is an abundant number, since it is smaller than the sum of its proper divisors (5326205200).

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

2878269680 is a wasteful number, since it uses less digits than its factorization.

2878269680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10999 (or 10993 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 56.

The square root of 2878269680 is about 53649.5077330631. The cubic root of 2878269680 is about 1422.4723312127.

The spelling of 2878269680 in words is "two billion, eight hundred seventy-eight million, two hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 23 26 40 44 46 52 55 65 80 88 92 104 110 115 130 143 176 184 208 220 230 253 260 286 299 368 440 460 506 520 572 598 715 880 920 1012 1040 1144 1196 1265 1430 1495 1840 2024 2288 2392 2530 2860 2990 3289 4048 4784 5060 5720 5980 6578 10120 10939 11440 11960 13156 16445 20240 21878 23920 26312 32890 43756 52624 54695 65780 87512 109390 120329 131560 142207 175024 218780 240658 251597 263120 284414 437560 481316 503194 568828 601645 711035 875120 962632 1006388 1137656 1203290 1257985 1422070 1564277 1925264 2012776 2275312 2406580 2515970 2767567 2844140 3128554 3270761 4025552 4813160 5031940 5535134 5688280 6257108 6541522 7821385 9626320 10063880 11070268 11376560 12514216 13083044 13837835 15642770 16353805 20127760 22140536 25028432 26166088 27675670 31285540 32707610 35978371 44281072 52332176 55351340 62571080 65415220 71956742 110702680 125142160 130830440 143913484 179891855 221405360 261660880 287826968 359783710 575653936 719567420 1439134840 2878269680